-16x^2+1654x+5106=0

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Solution for -16x^2+1654x+5106=0 equation:


Simplifying
-16x2 + 1654x + 5106 = 0

Reorder the terms:
5106 + 1654x + -16x2 = 0

Solving
5106 + 1654x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2553 + 827x + -8x2) = 0

Factor a trinomial.
2((851 + -8x)(3 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(851 + -8x)' equal to zero and attempt to solve: Simplifying 851 + -8x = 0 Solving 851 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-851' to each side of the equation. 851 + -851 + -8x = 0 + -851 Combine like terms: 851 + -851 = 0 0 + -8x = 0 + -851 -8x = 0 + -851 Combine like terms: 0 + -851 = -851 -8x = -851 Divide each side by '-8'. x = 106.375 Simplifying x = 106.375

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {106.375, -3}

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