7x^2+252=-84x

Solution for 7x^2+252=-84x equation:

Simplifying
7x2 + 252 = -84x

Reorder the terms:
252 + 7x2 = -84x

Solving
252 + 7x2 = -84x

Solving for variable 'x'.

Reorder the terms:
252 + 84x + 7x2 = -84x + 84x

Combine like terms: -84x + 84x = 0
252 + 84x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(36 + 12x + x2) = 0

Factor a trinomial.
7((6 + x)(6 + x)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

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