0=16x^2+12x-10

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Solution for 0=16x^2+12x-10 equation: 


Simplifying
0 = 16x2 + 12x + -10

Reorder the terms:
0 = -10 + 12x + 16x2

Solving
0 = -10 + 12x + 16x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -12x + -16x2 = -10 + 12x + 16x2 + 10 + -12x + -16x2

Reorder the terms:
10 + -12x + -16x2 = -10 + 10 + 12x + -12x + 16x2 + -16x2

Combine like terms: -10 + 10 = 0
10 + -12x + -16x2 = 0 + 12x + -12x + 16x2 + -16x2
10 + -12x + -16x2 = 12x + -12x + 16x2 + -16x2

Combine like terms: 12x + -12x = 0
10 + -12x + -16x2 = 0 + 16x2 + -16x2
10 + -12x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
10 + -12x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -6x + -8x2) = 0

Factor a trinomial.
2((1 + -2x)(5 + 4x)) = 0

Ignore the factor 2.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {0.5, -1.25}

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