36x^2+18x=40

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Solution for 36x^2+18x=40 equation:


Simplifying
36x2 + 18x = 40

Reorder the terms:
18x + 36x2 = 40

Solving
18x + 36x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + 18x + 36x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 18x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 9x + 18x2) = 0

Factor a trinomial.
2((-4 + -3x)(5 + -6x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333

Solution

x = {-1.333333333, 0.8333333333}

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