4x(7-3x-2x)+5(3x-12x)=

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Solution for 4x(7-3x-2x)+5(3x-12x)= equation: 


Simplifying
4x(7 + -3x + -2x) + 5(3x + -12x) = 0

Combine like terms: -3x + -2x = -5x
4x(7 + -5x) + 5(3x + -12x) = 0
(7 * 4x + -5x * 4x) + 5(3x + -12x) = 0
(28x + -20x2) + 5(3x + -12x) = 0

Combine like terms: 3x + -12x = -9x
28x + -20x2 + 5(-9x) = 0

Remove parenthesis around (-9x)
28x + -20x2 + 5 * -9x = 0

Multiply 5 * -9
28x + -20x2 + -45x = 0

Reorder the terms:
28x + -45x + -20x2 = 0

Combine like terms: 28x + -45x = -17x
-17x + -20x2 = 0

Solving
-17x + -20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(17 + 20x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(17 + 20x)' equal to zero and attempt to solve:

Simplifying
17 + 20x = 0

Solving
17 + 20x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 20x = 0 + -17

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

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

Divide each side by '20'.
x = -0.85

Simplifying
x = -0.85
Solution
x = {0, -0.85}

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