5x^2-2(x-10)=18x

Solution for 5x^2-2(x-10)=18x equation:

Simplifying
5x2 + -2(x + -10) = 18x

Reorder the terms:
5x2 + -2(-10 + x) = 18x
5x2 + (-10 * -2 + x * -2) = 18x
5x2 + (20 + -2x) = 18x

Reorder the terms:
20 + -2x + 5x2 = 18x

Solving
20 + -2x + 5x2 = 18x

Solving for variable 'x'.

Reorder the terms:
20 + -2x + -18x + 5x2 = 18x + -18x

Combine like terms: -2x + -18x = -20x
20 + -20x + 5x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
20 + -20x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + -4x + x2) = 0

Factor a trinomial.
5((2 + -1x)(2 + -1x)) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}