-3x+4x(5x+5)=156

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Solution for -3x+4x(5x+5)=156 equation: 


Simplifying
-3x + 4x(5x + 5) = 156

Reorder the terms:
-3x + 4x(5 + 5x) = 156
-3x + (5 * 4x + 5x * 4x) = 156
-3x + (20x + 20x2) = 156

Combine like terms: -3x + 20x = 17x
17x + 20x2 = 156

Solving
17x + 20x2 = 156

Solving for variable 'x'.

Reorder the terms:
-156 + 17x + 20x2 = 156 + -156

Combine like terms: 156 + -156 = 0
-156 + 17x + 20x2 = 0

Factor a trinomial.
(-13 + -4x)(12 + -5x) = 0


Subproblem 1
Set the factor '(-13 + -4x)' equal to zero and attempt to solve:

Simplifying
-13 + -4x = 0

Solving
-13 + -4x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4x = 0 + 13
-4x = 0 + 13

Combine like terms: 0 + 13 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25

Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve:

Simplifying
12 + -5x = 0

Solving
12 + -5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 0 + -12
-5x = 0 + -12

Combine like terms: 0 + -12 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4
Solution
x = {-3.25, 2.4}

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