(7x-2)(-2x+4)+(7x-2)(-5x-6)=0

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Solution for (7x-2)(-2x+4)+(7x-2)(-5x-6)=0 equation: 


Simplifying
(7x + -2)(-2x + 4) + (7x + -2)(-5x + -6) = 0

Reorder the terms:
(-2 + 7x)(-2x + 4) + (7x + -2)(-5x + -6) = 0

Reorder the terms:
(-2 + 7x)(4 + -2x) + (7x + -2)(-5x + -6) = 0

Multiply (-2 + 7x) * (4 + -2x)
(-2(4 + -2x) + 7x * (4 + -2x)) + (7x + -2)(-5x + -6) = 0
((4 * -2 + -2x * -2) + 7x * (4 + -2x)) + (7x + -2)(-5x + -6) = 0
((-8 + 4x) + 7x * (4 + -2x)) + (7x + -2)(-5x + -6) = 0
(-8 + 4x + (4 * 7x + -2x * 7x)) + (7x + -2)(-5x + -6) = 0
(-8 + 4x + (28x + -14x2)) + (7x + -2)(-5x + -6) = 0

Combine like terms: 4x + 28x = 32x
(-8 + 32x + -14x2) + (7x + -2)(-5x + -6) = 0

Reorder the terms:
-8 + 32x + -14x2 + (-2 + 7x)(-5x + -6) = 0

Reorder the terms:
-8 + 32x + -14x2 + (-2 + 7x)(-6 + -5x) = 0

Multiply (-2 + 7x) * (-6 + -5x)
-8 + 32x + -14x2 + (-2(-6 + -5x) + 7x * (-6 + -5x)) = 0
-8 + 32x + -14x2 + ((-6 * -2 + -5x * -2) + 7x * (-6 + -5x)) = 0
-8 + 32x + -14x2 + ((12 + 10x) + 7x * (-6 + -5x)) = 0
-8 + 32x + -14x2 + (12 + 10x + (-6 * 7x + -5x * 7x)) = 0
-8 + 32x + -14x2 + (12 + 10x + (-42x + -35x2)) = 0

Combine like terms: 10x + -42x = -32x
-8 + 32x + -14x2 + (12 + -32x + -35x2) = 0

Reorder the terms:
-8 + 12 + 32x + -32x + -14x2 + -35x2 = 0

Combine like terms: -8 + 12 = 4
4 + 32x + -32x + -14x2 + -35x2 = 0

Combine like terms: 32x + -32x = 0
4 + 0 + -14x2 + -35x2 = 0
4 + -14x2 + -35x2 = 0

Combine like terms: -14x2 + -35x2 = -49x2
4 + -49x2 = 0

Solving
4 + -49x2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -49x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -49x2 = 0 + -4
-49x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-49x2 = -4

Divide each side by '-49'.
x2 = 0.08163265306

Simplifying
x2 = 0.08163265306

Take the square root of each side:
x = {-0.285714286, 0.285714286}

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