7x(x-4)=15x-29x

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Solution for 7x(x-4)=15x-29x equation: 


Simplifying
7x(x + -4) = 15x + -29x

Reorder the terms:
7x(-4 + x) = 15x + -29x
(-4 * 7x + x * 7x) = 15x + -29x
(-28x + 7x2) = 15x + -29x

Combine like terms: 15x + -29x = -14x
-28x + 7x2 = -14x

Solving
-28x + 7x2 = -14x

Solving for variable 'x'.

Reorder the terms:
-28x + 14x + 7x2 = -14x + 14x

Combine like terms: -28x + 14x = -14x
-14x + 7x2 = -14x + 14x

Combine like terms: -14x + 14x = 0
-14x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-2 + x) = 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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2
Solution
x = {0, 2}

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