2x^2=144-42x

Solution for 2x^2=144-42x equation:

Simplifying
2x2 = 144 + -42x

Solving
2x2 = 144 + -42x

Solving for variable 'x'.

Reorder the terms:
-144 + 42x + 2x2 = 144 + -42x + -144 + 42x

Reorder the terms:
-144 + 42x + 2x2 = 144 + -144 + -42x + 42x

Combine like terms: 144 + -144 = 0
-144 + 42x + 2x2 = 0 + -42x + 42x
-144 + 42x + 2x2 = -42x + 42x

Combine like terms: -42x + 42x = 0
-144 + 42x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + 21x + x2) = 0

Factor a trinomial.
2((-24 + -1x)(3 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24
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 = {-24, 3}