0=6x^2+20x-16

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Solution for 0=6x^2+20x-16 equation:


Simplifying
0 = 6x2 + 20x + -16

Reorder the terms:
0 = -16 + 20x + 6x2

Solving
0 = -16 + 20x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -20x + -6x2 = -16 + 20x + 6x2 + 16 + -20x + -6x2

Reorder the terms:
16 + -20x + -6x2 = -16 + 16 + 20x + -20x + 6x2 + -6x2

Combine like terms: -16 + 16 = 0
16 + -20x + -6x2 = 0 + 20x + -20x + 6x2 + -6x2
16 + -20x + -6x2 = 20x + -20x + 6x2 + -6x2

Combine like terms: 20x + -20x = 0
16 + -20x + -6x2 = 0 + 6x2 + -6x2
16 + -20x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
16 + -20x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -10x + -3x2) = 0

Factor a trinomial.
2((2 + -3x)(4 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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 = {0.6666666667, -4}

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