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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