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Simplifying 10x + -8x2 = 80 Solving 10x + -8x2 = 80 Solving for variable 'x'. Reorder the terms: -80 + 10x + -8x2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 10x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + 5x + -4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + 5x + -4x2)' equal to zero and attempt to solve: Simplifying -40 + 5x + -4x2 = 0 Solving -40 + 5x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 10 + -1.25x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -1.25x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -1.25x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1.25x + x2 = 0 + -10 -1.25x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1.25x + x2 = -10 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -10 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -10 + 0.390625 Combine like terms: -10 + 0.390625 = -9.609375 0.390625 + -1.25x + x2 = -9.609375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -9.609375 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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