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Simplifying 2x2 = 2x + -64 Reorder the terms: 2x2 = -64 + 2x Solving 2x2 = -64 + 2x Solving for variable 'x'. Reorder the terms: 64 + -2x + 2x2 = -64 + 2x + 64 + -2x Reorder the terms: 64 + -2x + 2x2 = -64 + 64 + 2x + -2x Combine like terms: -64 + 64 = 0 64 + -2x + 2x2 = 0 + 2x + -2x 64 + -2x + 2x2 = 2x + -2x Combine like terms: 2x + -2x = 0 64 + -2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(32 + -1x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(32 + -1x + x2)' equal to zero and attempt to solve: Simplifying 32 + -1x + x2 = 0 Solving 32 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + -1x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + -1x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x + x2 = 0 + -32 -1x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -1x + x2 = -32 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -32 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -32 + 0.25 Combine like terms: -32 + 0.25 = -31.75 0.25 + -1x + x2 = -31.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -31.75 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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