9(4x^2-2x-20)=0

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Solution for 9(4x^2-2x-20)=0 equation:


Simplifying
9(4x2 + -2x + -20) = 0

Reorder the terms:
9(-20 + -2x + 4x2) = 0
(-20 * 9 + -2x * 9 + 4x2 * 9) = 0
(-180 + -18x + 36x2) = 0

Solving
-180 + -18x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(-10 + -1x + 2x2) = 0

Factor a trinomial.
18((-2 + -1x)(5 + -2x)) = 0

Ignore the factor 18.

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {-2, 2.5}

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