252=(x+2)(4x)

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Solution for 252=(x+2)(4x) equation: 


Simplifying
252 = (x + 2)(4x)

Reorder the terms:
252 = (2 + x)(4x)

Remove parenthesis around (4x)
252 = (2 + x) * 4x

Reorder the terms for easier multiplication:
252 = 4x(2 + x)
252 = (2 * 4x + x * 4x)
252 = (8x + 4x2)

Solving
252 = 8x + 4x2

Solving for variable 'x'.

Reorder the terms:
252 + -8x + -4x2 = 8x + -8x + 4x2 + -4x2

Combine like terms: 8x + -8x = 0
252 + -8x + -4x2 = 0 + 4x2 + -4x2
252 + -8x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
252 + -8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(63 + -2x + -1x2) = 0

Factor a trinomial.
4((7 + -1x)(9 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
Solution
x = {7, -9}

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