-8x^2-100x-428=0

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Solution for -8x^2-100x-428=0 equation:


Simplifying
-8x2 + -100x + -428 = 0

Reorder the terms:
-428 + -100x + -8x2 = 0

Solving
-428 + -100x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(107 + 25x + 2x2) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(107 + 25x + 2x2)' equal to zero and attempt to solve: Simplifying 107 + 25x + 2x2 = 0 Solving 107 + 25x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 53.5 + 12.5x + x2 = 0 Move the constant term to the right: Add '-53.5' to each side of the equation. 53.5 + 12.5x + -53.5 + x2 = 0 + -53.5 Reorder the terms: 53.5 + -53.5 + 12.5x + x2 = 0 + -53.5 Combine like terms: 53.5 + -53.5 = 0.0 0.0 + 12.5x + x2 = 0 + -53.5 12.5x + x2 = 0 + -53.5 Combine like terms: 0 + -53.5 = -53.5 12.5x + x2 = -53.5 The x term is 12.5x. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5x + 39.0625 + x2 = -53.5 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = -53.5 + 39.0625 Combine like terms: -53.5 + 39.0625 = -14.4375 39.0625 + 12.5x + x2 = -14.4375 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = -14.4375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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