7(2*2x-9x)+5x(9-2x+3*3x)=0

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Solution for 7(2*2x-9x)+5x(9-2x+3*3x)=0 equation: 


Simplifying
7(2 * 2x + -9x) + 5x(9 + -2x + 3 * 3x) = 0

Multiply 2 * 2
7(4x + -9x) + 5x(9 + -2x + 3 * 3x) = 0

Combine like terms: 4x + -9x = -5x
7(-5x) + 5x(9 + -2x + 3 * 3x) = 0

Remove parenthesis around (-5x)
7 * -5x + 5x(9 + -2x + 3 * 3x) = 0

Multiply 7 * -5
-35x + 5x(9 + -2x + 3 * 3x) = 0

Multiply 3 * 3
-35x + 5x(9 + -2x + 9x) = 0

Combine like terms: -2x + 9x = 7x
-35x + 5x(9 + 7x) = 0
-35x + (9 * 5x + 7x * 5x) = 0
-35x + (45x + 35x2) = 0

Combine like terms: -35x + 45x = 10x
10x + 35x2 = 0

Solving
10x + 35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(2 + 7x) = 0

Ignore the factor 5.

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 '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {0, -0.2857142857}

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