(4x-5x)(x+7)=0

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Solution for (4x-5x)(x+7)=0 equation: 


Simplifying
(4x + -5x)(x + 7) = 0

Combine like terms: 4x + -5x = -1x
(-1x)(x + 7) = 0

Remove parenthesis around (-1x)
-1x(x + 7) = 0

Reorder the terms:
-1x(7 + x) = 0
(7 * -1x + x * -1x) = 0
(-7x + -1x2) = 0

Solving
-7x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(7 + x) = 0

Ignore the factor -1.

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

Simplifying
7 + x = 0

Solving
7 + x = 0

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

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

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

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

Simplifying
x = -7
Solution
x = {0, -7}

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