4x(2x-3)=36

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Solution for 4x(2x-3)=36 equation:


Simplifying
4x(2x + -3) = 36

Reorder the terms:
4x(-3 + 2x) = 36
(-3 * 4x + 2x * 4x) = 36
(-12x + 8x2) = 36

Solving
-12x + 8x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + -12x + 8x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -12x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + -3x + 2x2) = 0

Factor a trinomial.
4((-3 + -2x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-1.5, 3}

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