5x^2-70x=75

Solution for 5x^2-70x=75 equation:

Simplifying
5x2 + -70x = 75

Reorder the terms:
-70x + 5x2 = 75

Solving
-70x + 5x2 = 75

Solving for variable 'x'.

Reorder the terms:
-75 + -70x + 5x2 = 75 + -75

Combine like terms: 75 + -75 = 0
-75 + -70x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-15 + -14x + x2) = 0

Factor a trinomial.
5((-1 + -1x)(15 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
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
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-1, 15}