13x^2-18x=63

Solution for 13x^2-18x=63 equation:

Simplifying
13x2 + -18x = 63

Reorder the terms:
-18x + 13x2 = 63

Solving
-18x + 13x2 = 63

Solving for variable 'x'.

Reorder the terms:
-63 + -18x + 13x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -18x + 13x2 = 0

Factor a trinomial.
(-21 + -13x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-21 + -13x)' equal to zero and attempt to solve:

Simplifying
-21 + -13x = 0

Solving
-21 + -13x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -13x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -13x = 0 + 21
-13x = 0 + 21

Combine like terms: 0 + 21 = 21
-13x = 21

Divide each side by '-13'.
x = -1.615384615

Simplifying
x = -1.615384615
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-1.615384615, 3}