-2x^2+10x=-48

Solution for -2x^2+10x=-48 equation:

Simplifying
-2x2 + 10x = -48

Reorder the terms:
10x + -2x2 = -48

Solving
10x + -2x2 = -48

Solving for variable 'x'.

Reorder the terms:
48 + 10x + -2x2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + 10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 5x + -1x2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
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
Solution
x = {8, -3}