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Simplifying 12x2 + -15x = -600 Reorder the terms: -15x + 12x2 = -600 Solving -15x + 12x2 = -600 Solving for variable 'x'. Reorder the terms: 600 + -15x + 12x2 = -600 + 600 Combine like terms: -600 + 600 = 0 600 + -15x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(200 + -5x + 4x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(200 + -5x + 4x2)' equal to zero and attempt to solve: Simplifying 200 + -5x + 4x2 = 0 Solving 200 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 50 + -1.25x + x2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + -1.25x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -1.25x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1.25x + x2 = 0 + -50 -1.25x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -1.25x + x2 = -50 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 = -50 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -50 + 0.390625 Combine like terms: -50 + 0.390625 = -49.609375 0.390625 + -1.25x + x2 = -49.609375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -49.609375 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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