4x²-21x+104
What will be the answer with steps??
Answers
Solution for 4x^2+21x+20=0 equation:
Simplifying
4x2 + 21x + 20 = 0
Reorder the terms:
20 + 21x + 4x2 = 0
Solving
20 + 21x + 4x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(4 + x)(5 + 4x) = 0
Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:
Simplifying
4 + x = 0
Solving
4 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4
Combine like terms: 0 + -4 = -4
x = -4
Simplifying
x = -4
Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve:
Simplifying
5 + 4x = 0
Solving
5 + 4x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5
Combine like terms: 0 + -5 = -5
4x = -5
Divide each side by '4'.
x = -1.25
Simplifying
x = -1.25
Solution
x = {-4, -1.25}