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Simplifying -64 = 16x2 + 48x Reorder the terms: -64 = 48x + 16x2 Solving -64 = 48x + 16x2 Solving for variable 'x'. Reorder the terms: -64 + -48x + -16x2 = 48x + -48x + 16x2 + -16x2 Combine like terms: 48x + -48x = 0 -64 + -48x + -16x2 = 0 + 16x2 + -16x2 -64 + -48x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -64 + -48x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-16'. -16(4 + 3x + x2) = 0 Ignore the factor -16.Subproblem 1
Set the factor '(4 + 3x + x2)' equal to zero and attempt to solve: Simplifying 4 + 3x + x2 = 0 Solving 4 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x + x2 = 0 + -4 3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 3x + x2 = -4 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -4 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + 3x + x2 = -1.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -1.75 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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