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Simplifying 5x2 + -120x + 900 = 0 Reorder the terms: 900 + -120x + 5x2 = 0 Solving 900 + -120x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(180 + -24x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(180 + -24x + x2)' equal to zero and attempt to solve: Simplifying 180 + -24x + x2 = 0 Solving 180 + -24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + -24x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + -24x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -24x + x2 = 0 + -180 -24x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 -24x + x2 = -180 The x term is -24x. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24x + 144 + x2 = -180 + 144 Reorder the terms: 144 + -24x + x2 = -180 + 144 Combine like terms: -180 + 144 = -36 144 + -24x + x2 = -36 Factor a perfect square on the left side: (x + -12)(x + -12) = -36 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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