Solve the following equation 2(3x - 5) - 5(2x -4) - (4x - 30) = 0?
Answers
Explanation:
Simplifying
4x2 + -24x + -30 = 0
Reorder the terms:
-30 + -24x + 4x2 = 0
Solving
-30 + -24x + 4x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -12x + 2x2) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-15 + -12x + 2x2)' equal to zero and attempt to solve:
Simplifying
-15 + -12x + 2x2 = 0
Solving
-15 + -12x + 2x2 = 0
Begin completing the square. Divide all terms by
2 the coefficient of the squared term:
Divide each side by '2'.
-7.5 + -6x + x2 = 0
Move the constant term to the right:
Add '7.5' to each side of the equation.
-7.5 + -6x + 7.5 + x2 = 0 + 7.5
Reorder the terms:
-7.5 + 7.5 + -6x + x2 = 0 + 7.5
Combine like terms: -7.5 + 7.5 = 0.0
0.0 + -6x + x2 = 0 + 7.5
-6x + x2 = 0 + 7.5
Combine like terms: 0 + 7.5 = 7.5
-6x + x2 = 7.5
The x term is -6x. Take half its coefficient (-3).
Square it (9) and add it to both sides.
Add '9' to each side of the equation.
-6x + 9 + x2 = 7.5 + 9
Reorder the terms:
9 + -6x + x2 = 7.5 + 9
Combine like terms: 7.5 + 9 = 16.5
9 + -6x + x2 = 16.5
Factor a perfect square on the left side:
(x + -3)(x + -3) = 16.5
Calculate the square root of the right side: 4.062019202
Break this problem into two subproblems by setting
(x + -3) equal to 4.062019202 and -4.062019202.
Subproblem 1
x + -3 = 4.062019202
Simplifying
x + -3 = 4.062019202
Reorder the terms:
-3 + x = 4.062019202
Solving
-3 + x = 4.062019202
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + x = 4.062019202 + 3
Combine like terms: -3 + 3 = 0
0 + x = 4.062019202 + 3
x = 4.062019202 + 3
Combine like terms: 4.062019202 + 3 = 7.062019202
x = 7.062019202
Simplifying
x = 7.062019202
Subproblem 2
x + -3 = -4.062019202
Simplifying
x + -3 = -4.062019202
Reorder the terms:
-3 + x = -4.062019202
Solving
-3 + x = -4.062019202
Solving for variable 'x'.
please make brainlist
6x - 10 -10x +20 -4x + 30 =0
-8x -40 =0
-8x =40
x= -5
hope it helps
plz mark as brainlist