310=-16x^2-4x+382

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Solution for 310=-16x^2-4x+382 equation: 


Simplifying
310 = -16x2 + -4x + 382

Reorder the terms:
310 = 382 + -4x + -16x2

Solving
310 = 382 + -4x + -16x2

Solving for variable 'x'.

Combine like terms: 310 + -382 = -72
-72 + 4x + 16x2 = 382 + -4x + -16x2 + -382 + 4x + 16x2

Reorder the terms:
-72 + 4x + 16x2 = 382 + -382 + -4x + 4x + -16x2 + 16x2

Combine like terms: 382 + -382 = 0
-72 + 4x + 16x2 = 0 + -4x + 4x + -16x2 + 16x2
-72 + 4x + 16x2 = -4x + 4x + -16x2 + 16x2

Combine like terms: -4x + 4x = 0
-72 + 4x + 16x2 = 0 + -16x2 + 16x2
-72 + 4x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-72 + 4x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-18 + x + 4x2) = 0

Factor a trinomial.
4((-9 + -4x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 0 + 9
-4x = 0 + 9

Combine like terms: 0 + 9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

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 = {-2.25, 2}

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