4x^2-3(12x-30)=18

Solution for 4x^2-3(12x-30)=18 equation:

Simplifying
4x2 + -3(12x + -30) = 18

Reorder the terms:
4x2 + -3(-30 + 12x) = 18
4x2 + (-30 * -3 + 12x * -3) = 18
4x2 + (90 + -36x) = 18

Reorder the terms:
90 + -36x + 4x2 = 18

Solving
90 + -36x + 4x2 = 18

Solving for variable 'x'.

Reorder the terms:
90 + -18 + -36x + 4x2 = 18 + -18

Combine like terms: 90 + -18 = 72
72 + -36x + 4x2 = 18 + -18

Combine like terms: 18 + -18 = 0
72 + -36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -9x + x2) = 0

Factor a trinomial.
4((3 + -1x)(6 + -1x)) = 0

Ignore the factor 4.
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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {3, 6}