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Simplifying -100x2 + 180x + -100 = 0 Reorder the terms: -100 + 180x + -100x2 = 0 Solving -100 + 180x + -100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20'. 20(-5 + 9x + -5x2) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-5 + 9x + -5x2)' equal to zero and attempt to solve: Simplifying -5 + 9x + -5x2 = 0 Solving -5 + 9x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1 + -1.8x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.8x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.8x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.8x + x2 = 0 + -1 -1.8x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.8x + x2 = -1 The x term is -1.8x. Take half its coefficient (-0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. -1.8x + 0.81 + x2 = -1 + 0.81 Reorder the terms: 0.81 + -1.8x + x2 = -1 + 0.81 Combine like terms: -1 + 0.81 = -0.19 0.81 + -1.8x + x2 = -0.19 Factor a perfect square on the left side: (x + -0.9)(x + -0.9) = -0.19 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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