5x(x+10)-25=5x+25

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Solution for 5x(x+10)-25=5x+25 equation: 


Simplifying
5x(x + 10) + -25 = 5x + 25

Reorder the terms:
5x(10 + x) + -25 = 5x + 25
(10 * 5x + x * 5x) + -25 = 5x + 25
(50x + 5x2) + -25 = 5x + 25

Reorder the terms:
-25 + 50x + 5x2 = 5x + 25

Reorder the terms:
-25 + 50x + 5x2 = 25 + 5x

Solving
-25 + 50x + 5x2 = 25 + 5x

Solving for variable 'x'.

Reorder the terms:
-25 + -25 + 50x + -5x + 5x2 = 25 + 5x + -25 + -5x

Combine like terms: -25 + -25 = -50
-50 + 50x + -5x + 5x2 = 25 + 5x + -25 + -5x

Combine like terms: 50x + -5x = 45x
-50 + 45x + 5x2 = 25 + 5x + -25 + -5x

Reorder the terms:
-50 + 45x + 5x2 = 25 + -25 + 5x + -5x

Combine like terms: 25 + -25 = 0
-50 + 45x + 5x2 = 0 + 5x + -5x
-50 + 45x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-50 + 45x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-10 + 9x + x2) = 0

Factor a trinomial.
5((-10 + -1x)(1 + -1x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-10, 1}

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