7x(4x+13)=0

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Solution for 7x(4x+13)=0 equation: 


Simplifying
7x(4x + 13) = 0

Reorder the terms:
7x(13 + 4x) = 0
(13 * 7x + 4x * 7x) = 0
(91x + 28x2) = 0

Solving
91x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(13 + 4x) = 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 '(13 + 4x)' equal to zero and attempt to solve:

Simplifying
13 + 4x = 0

Solving
13 + 4x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 0 + -13
4x = 0 + -13

Combine like terms: 0 + -13 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25
Solution
x = {0, -3.25}

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