55=5x^2-15x-85

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Solution for 55=5x^2-15x-85 equation: 


Simplifying
55 = 5x2 + -15x + -85

Reorder the terms:
55 = -85 + -15x + 5x2

Solving
55 = -85 + -15x + 5x2

Solving for variable 'x'.

Combine like terms: 55 + 85 = 140
140 + 15x + -5x2 = -85 + -15x + 5x2 + 85 + 15x + -5x2

Reorder the terms:
140 + 15x + -5x2 = -85 + 85 + -15x + 15x + 5x2 + -5x2

Combine like terms: -85 + 85 = 0
140 + 15x + -5x2 = 0 + -15x + 15x + 5x2 + -5x2
140 + 15x + -5x2 = -15x + 15x + 5x2 + -5x2

Combine like terms: -15x + 15x = 0
140 + 15x + -5x2 = 0 + 5x2 + -5x2
140 + 15x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
140 + 15x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(28 + 3x + -1x2) = 0

Factor a trinomial.
5((7 + -1x)(4 + x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {7, -4}

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