-7x^2+6x+288=0

Solution for -7x^2+6x+288=0 equation:

Simplifying
-7x2 + 6x + 288 = 0

Reorder the terms:
288 + 6x + -7x2 = 0

Solving
288 + 6x + -7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(48 + -7x)(6 + x) = 0

Subproblem 1
Set the factor '(48 + -7x)' equal to zero and attempt to solve:

Simplifying
48 + -7x = 0

Solving
48 + -7x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -7x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -7x = 0 + -48
-7x = 0 + -48

Combine like terms: 0 + -48 = -48
-7x = -48

Divide each side by '-7'.
x = 6.857142857

Simplifying
x = 6.857142857
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 = {6.857142857, -6}