7x(5x+10)=7x

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Solution for 7x(5x+10)=7x equation: 


Simplifying
7x(5x + 10) = 7x

Reorder the terms:
7x(10 + 5x) = 7x
(10 * 7x + 5x * 7x) = 7x
(70x + 35x2) = 7x

Solving
70x + 35x2 = 7x

Solving for variable 'x'.

Reorder the terms:
70x + -7x + 35x2 = 7x + -7x

Combine like terms: 70x + -7x = 63x
63x + 35x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
63x + 35x2 = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(9 + 5x) = 0

Ignore the factor 7.

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 '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8
Solution
x = {0, -1.8}

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