4x^2-9x=63

Solution for 4x^2-9x=63 equation:

Simplifying
4x2 + -9x = 63

Reorder the terms:
-9x + 4x2 = 63

Solving
-9x + 4x2 = 63

Solving for variable 'x'.

Reorder the terms:
-63 + -9x + 4x2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -9x + 4x2 = 0

Factor a trinomial.
(-3 + -1x)(21 + -4x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve:

Simplifying
21 + -4x = 0

Solving
21 + -4x = 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 + -4x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = 0 + -21
-4x = 0 + -21

Combine like terms: 0 + -21 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25
Solution
x = {-3, 5.25}