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Simplifying 0 = -4x2 + 40x + -480 Reorder the terms: 0 = -480 + 40x + -4x2 Solving 0 = -480 + 40x + -4x2 Solving for variable 'x'. Combine like terms: 0 + 480 = 480 480 + -40x + 4x2 = -480 + 40x + -4x2 + 480 + -40x + 4x2 Reorder the terms: 480 + -40x + 4x2 = -480 + 480 + 40x + -40x + -4x2 + 4x2 Combine like terms: -480 + 480 = 0 480 + -40x + 4x2 = 0 + 40x + -40x + -4x2 + 4x2 480 + -40x + 4x2 = 40x + -40x + -4x2 + 4x2 Combine like terms: 40x + -40x = 0 480 + -40x + 4x2 = 0 + -4x2 + 4x2 480 + -40x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 480 + -40x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(120 + -10x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(120 + -10x + x2)' equal to zero and attempt to solve: Simplifying 120 + -10x + x2 = 0 Solving 120 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-120' to each side of the equation. 120 + -10x + -120 + x2 = 0 + -120 Reorder the terms: 120 + -120 + -10x + x2 = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -10x + x2 = 0 + -120 -10x + x2 = 0 + -120 Combine like terms: 0 + -120 = -120 -10x + x2 = -120 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -120 + 25 Reorder the terms: 25 + -10x + x2 = -120 + 25 Combine like terms: -120 + 25 = -95 25 + -10x + x2 = -95 Factor a perfect square on the left side: (x + -5)(x + -5) = -95 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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