7x(6+9x)-2x(8+5x)=

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Solution for 7x(6+9x)-2x(8+5x)= equation: 


Simplifying
7x(6 + 9x) + -2x(8 + 5x) = 0
(6 * 7x + 9x * 7x) + -2x(8 + 5x) = 0
(42x + 63x2) + -2x(8 + 5x) = 0
42x + 63x2 + (8 * -2x + 5x * -2x) = 0
42x + 63x2 + (-16x + -10x2) = 0

Reorder the terms:
42x + -16x + 63x2 + -10x2 = 0

Combine like terms: 42x + -16x = 26x
26x + 63x2 + -10x2 = 0

Combine like terms: 63x2 + -10x2 = 53x2
26x + 53x2 = 0

Solving
26x + 53x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(26 + 53x) = 0


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 '(26 + 53x)' equal to zero and attempt to solve:

Simplifying
26 + 53x = 0

Solving
26 + 53x = 0

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

Add '-26' to each side of the equation.
26 + -26 + 53x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 53x = 0 + -26
53x = 0 + -26

Combine like terms: 0 + -26 = -26
53x = -26

Divide each side by '53'.
x = -0.4905660377

Simplifying
x = -0.4905660377
Solution
x = {0, -0.4905660377}

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