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Simplifying 8x(-6x + -8) = 496 Reorder the terms: 8x(-8 + -6x) = 496 (-8 * 8x + -6x * 8x) = 496 (-64x + -48x2) = 496 Solving -64x + -48x2 = 496 Solving for variable 'x'. Reorder the terms: -496 + -64x + -48x2 = 496 + -496 Combine like terms: 496 + -496 = 0 -496 + -64x + -48x2 = 0 Factor out the Greatest Common Factor (GCF), '-16'. -16(31 + 4x + 3x2) = 0 Ignore the factor -16.Subproblem 1
Set the factor '(31 + 4x + 3x2)' equal to zero and attempt to solve: Simplifying 31 + 4x + 3x2 = 0 Solving 31 + 4x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10.33333333 + 1.333333333x + x2 = 0 Move the constant term to the right: Add '-10.33333333' to each side of the equation. 10.33333333 + 1.333333333x + -10.33333333 + x2 = 0 + -10.33333333 Reorder the terms: 10.33333333 + -10.33333333 + 1.333333333x + x2 = 0 + -10.33333333 Combine like terms: 10.33333333 + -10.33333333 = 0.00000000 0.00000000 + 1.333333333x + x2 = 0 + -10.33333333 1.333333333x + x2 = 0 + -10.33333333 Combine like terms: 0 + -10.33333333 = -10.33333333 1.333333333x + x2 = -10.33333333 The x term is 1.333333333x. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333x + 0.4444444442 + x2 = -10.33333333 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333x + x2 = -10.33333333 + 0.4444444442 Combine like terms: -10.33333333 + 0.4444444442 = -9.8888888858 0.4444444442 + 1.333333333x + x2 = -9.8888888858 Factor a perfect square on the left side: (x + 0.6666666665)(x + 0.6666666665) = -9.8888888858 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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