48=10x^2-28x

Solution for 48=10x^2-28x equation:

Simplifying
48 = 10x2 + -28x

Reorder the terms:
48 = -28x + 10x2

Solving
48 = -28x + 10x2

Solving for variable 'x'.

Reorder the terms:
48 + 28x + -10x2 = -28x + 28x + 10x2 + -10x2

Combine like terms: -28x + 28x = 0
48 + 28x + -10x2 = 0 + 10x2 + -10x2
48 + 28x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
48 + 28x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 14x + -5x2) = 0

Factor a trinomial.
2((4 + -1x)(6 + 5x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 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 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {4, -1.2}