2x^2+5x-60=x^2+16x

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Solution for 2x^2+5x-60=x^2+16x equation: 


Simplifying
2x2 + 5x + -60 = x2 + 16x

Reorder the terms:
-60 + 5x + 2x2 = x2 + 16x

Reorder the terms:
-60 + 5x + 2x2 = 16x + x2

Solving
-60 + 5x + 2x2 = 16x + x2

Solving for variable 'x'.

Reorder the terms:
-60 + 5x + -16x + 2x2 + -1x2 = 16x + x2 + -16x + -1x2

Combine like terms: 5x + -16x = -11x
-60 + -11x + 2x2 + -1x2 = 16x + x2 + -16x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-60 + -11x + 1x2 = 16x + x2 + -16x + -1x2

Reorder the terms:
-60 + -11x + 1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
-60 + -11x + 1x2 = 0 + x2 + -1x2
-60 + -11x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-60 + -11x + 1x2 = 0

Factor a trinomial.
(-4 + -1x)(15 + -1x) = 0


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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-4, 15}

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