=4x^2-14x-60

Solution for =4x^2-14x-60 equation:

Simplifying
0 = 4x2 + -14x + -60

Reorder the terms:
0 = -60 + -14x + 4x2

Solving
0 = -60 + -14x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 60 = 60
60 + 14x + -4x2 = -60 + -14x + 4x2 + 60 + 14x + -4x2

Reorder the terms:
60 + 14x + -4x2 = -60 + 60 + -14x + 14x + 4x2 + -4x2

Combine like terms: -60 + 60 = 0
60 + 14x + -4x2 = 0 + -14x + 14x + 4x2 + -4x2
60 + 14x + -4x2 = -14x + 14x + 4x2 + -4x2

Combine like terms: -14x + 14x = 0
60 + 14x + -4x2 = 0 + 4x2 + -4x2
60 + 14x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
60 + 14x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + 7x + -2x2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {6, -2.5}