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

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


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

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

Combine like terms: 2x + -12x = -10x
-10x + 4x2 = 36

Solving
-10x + 4x2 = 36

Solving for variable 'x'.

Reorder the terms:
-36 + -10x + 4x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -10x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-18 + -5x + 2x2) = 0

Factor a trinomial.
2((-2 + -1x)(9 + -2x)) = 0

Ignore the factor 2.

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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5

Solution

x = {-2, 4.5}

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