-8x^2=48-40x

Solution for -8x^2=48-40x equation:

Simplifying
-8x2 = 48 + -40x

Solving
-8x2 = 48 + -40x

Solving for variable 'x'.

Reorder the terms:
-48 + 40x + -8x2 = 48 + -40x + -48 + 40x

Reorder the terms:
-48 + 40x + -8x2 = 48 + -48 + -40x + 40x

Combine like terms: 48 + -48 = 0
-48 + 40x + -8x2 = 0 + -40x + 40x
-48 + 40x + -8x2 = -40x + 40x

Combine like terms: -40x + 40x = 0
-48 + 40x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-6 + 5x + -1x2) = 0

Factor a trinomial.
8((-3 + x)(2 + -1x)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {3, 2}