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Simplifying -6x2 = -96x + 960 Reorder the terms: -6x2 = 960 + -96x Solving -6x2 = 960 + -96x Solving for variable 'x'. Reorder the terms: -960 + 96x + -6x2 = 960 + -96x + -960 + 96x Reorder the terms: -960 + 96x + -6x2 = 960 + -960 + -96x + 96x Combine like terms: 960 + -960 = 0 -960 + 96x + -6x2 = 0 + -96x + 96x -960 + 96x + -6x2 = -96x + 96x Combine like terms: -96x + 96x = 0 -960 + 96x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-160 + 16x + -1x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-160 + 16x + -1x2)' equal to zero and attempt to solve: Simplifying -160 + 16x + -1x2 = 0 Solving -160 + 16x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 160 + -16x + x2 = 0 Move the constant term to the right: Add '-160' to each side of the equation. 160 + -16x + -160 + x2 = 0 + -160 Reorder the terms: 160 + -160 + -16x + x2 = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -16x + x2 = 0 + -160 -16x + x2 = 0 + -160 Combine like terms: 0 + -160 = -160 -16x + x2 = -160 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -160 + 64 Reorder the terms: 64 + -16x + x2 = -160 + 64 Combine like terms: -160 + 64 = -96 64 + -16x + x2 = -96 Factor a perfect square on the left side: (x + -8)(x + -8) = -96 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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