-2x^2-8=5x

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Solution for -2x^2-8=5x equation:


Simplifying
-2x2 + -8 = 5x

Reorder the terms:
-8 + -2x2 = 5x

Solving
-8 + -2x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-8 + -5x + -2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -5x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 5x + 2x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(8 + 5x + 2x2)' equal to zero and attempt to solve: Simplifying 8 + 5x + 2x2 = 0 Solving 8 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + 2.5x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 2.5x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 2.5x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5x + x2 = 0 + -4 2.5x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 2.5x + x2 = -4 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -4 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -4 + 1.5625 Combine like terms: -4 + 1.5625 = -2.4375 1.5625 + 2.5x + x2 = -2.4375 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -2.4375 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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