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Simplifying 50 = 5x + -40x2 Solving 50 = 5x + -40x2 Solving for variable 'x'. Reorder the terms: 50 + -5x + 40x2 = 5x + -5x + -40x2 + 40x2 Combine like terms: 5x + -5x = 0 50 + -5x + 40x2 = 0 + -40x2 + 40x2 50 + -5x + 40x2 = -40x2 + 40x2 Combine like terms: -40x2 + 40x2 = 0 50 + -5x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(10 + -1x + 8x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(10 + -1x + 8x2)' equal to zero and attempt to solve: Simplifying 10 + -1x + 8x2 = 0 Solving 10 + -1x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.25 + -0.125x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.125x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.125x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.125x + x2 = 0 + -1.25 -0.125x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.125x + x2 = -1.25 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -1.25 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -1.25 + 0.00390625 Combine like terms: -1.25 + 0.00390625 = -1.24609375 0.00390625 + -0.125x + x2 = -1.24609375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -1.24609375 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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