216=4x^2+20x-200

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Solution for 216=4x^2+20x-200 equation: 


Simplifying
216 = 4x2 + 20x + -200

Reorder the terms:
216 = -200 + 20x + 4x2

Solving
216 = -200 + 20x + 4x2

Solving for variable 'x'.

Combine like terms: 216 + 200 = 416
416 + -20x + -4x2 = -200 + 20x + 4x2 + 200 + -20x + -4x2

Reorder the terms:
416 + -20x + -4x2 = -200 + 200 + 20x + -20x + 4x2 + -4x2

Combine like terms: -200 + 200 = 0
416 + -20x + -4x2 = 0 + 20x + -20x + 4x2 + -4x2
416 + -20x + -4x2 = 20x + -20x + 4x2 + -4x2

Combine like terms: 20x + -20x = 0
416 + -20x + -4x2 = 0 + 4x2 + -4x2
416 + -20x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
416 + -20x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(104 + -5x + -1x2) = 0

Factor a trinomial.
4((8 + -1x)(13 + x)) = 0

Ignore the factor 4.

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 '(13 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 0

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

Add '-13' to each side of the equation.
13 + -13 + x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + x = 0 + -13
x = 0 + -13

Combine like terms: 0 + -13 = -13
x = -13

Simplifying
x = -13
Solution
x = {8, -13}

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