(x+5)(x-5)=7x-25

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Solution for (x+5)(x-5)=7x-25 equation: 


Simplifying
(x + 5)(x + -5) = 7x + -25

Reorder the terms:
(5 + x)(x + -5) = 7x + -25

Reorder the terms:
(5 + x)(-5 + x) = 7x + -25

Multiply (5 + x) * (-5 + x)
(5(-5 + x) + x(-5 + x)) = 7x + -25
((-5 * 5 + x * 5) + x(-5 + x)) = 7x + -25
((-25 + 5x) + x(-5 + x)) = 7x + -25
(-25 + 5x + (-5 * x + x * x)) = 7x + -25
(-25 + 5x + (-5x + x2)) = 7x + -25

Combine like terms: 5x + -5x = 0
(-25 + 0 + x2) = 7x + -25
(-25 + x2) = 7x + -25

Reorder the terms:
-25 + x2 = -25 + 7x

Add '25' to each side of the equation.
-25 + 25 + x2 = -25 + 25 + 7x

Combine like terms: -25 + 25 = 0
0 + x2 = -25 + 25 + 7x
x2 = -25 + 25 + 7x

Combine like terms: -25 + 25 = 0
x2 = 0 + 7x
x2 = 7x

Solving
x2 = 7x

Solving for variable 'x'.

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

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

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


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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