4x^2+6x-20=8

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Solution for 4x^2+6x-20=8 equation: 


Simplifying
4x2 + 6x + -20 = 8

Reorder the terms:
-20 + 6x + 4x2 = 8

Solving
-20 + 6x + 4x2 = 8

Solving for variable 'x'.

Reorder the terms:
-20 + -8 + 6x + 4x2 = 8 + -8

Combine like terms: -20 + -8 = -28
-28 + 6x + 4x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-28 + 6x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + 3x + 2x2) = 0

Factor a trinomial.
2((-7 + -2x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-3.5, 2}

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