factorise 9x²-54x-176
Answers
Step-by-step explanation:
10x^2 - 9x + 2 = 0
Simplifying
10x2 + -9x + 2 = 0
Reorder the terms:
2 + -9x + 10x2 = 0
Solving
2 + -9x + 10x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -5x)(1 + -2x) = 0
Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:
Simplifying
2 + -5x = 0
Solving
2 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2
Combine like terms: 0 + -2 = -2
-5x = -2
Divide each side by '-5'.
x = 0.4
Simplifying
x = 0.4
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Solving
1 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms: 0 + -1 = -1
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
Solution
x = {0.4, 0.5}
I HOPE THAT IT'S ATTACHMENT IS YOUR ANSWER
AND PLEASE FOLLOW ME
