16x^2-114x=-14

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Solution for 16x^2-114x=-14 equation:


Simplifying
16x2 + -114x = -14

Reorder the terms:
-114x + 16x2 = -14

Solving
-114x + 16x2 = -14

Solving for variable 'x'.

Reorder the terms:
14 + -114x + 16x2 = -14 + 14

Combine like terms: -14 + 14 = 0
14 + -114x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -57x + 8x2) = 0

Factor a trinomial.
2((1 + -8x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 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 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {0.125, 7}

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