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Simplifying 3x2 + -3x = -150 Reorder the terms: -3x + 3x2 = -150 Solving -3x + 3x2 = -150 Solving for variable 'x'. Reorder the terms: 150 + -3x + 3x2 = -150 + 150 Combine like terms: -150 + 150 = 0 150 + -3x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(50 + -1x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(50 + -1x + x2)' equal to zero and attempt to solve: Simplifying 50 + -1x + x2 = 0 Solving 50 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + -1x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + -1x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x + x2 = 0 + -50 -1x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 -1x + x2 = -50 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 = -50 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -50 + 0.25 Combine like terms: -50 + 0.25 = -49.75 0.25 + -1x + x2 = -49.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -49.75 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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