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Simplifying 3x2 + -72x + 450 = 0 Reorder the terms: 450 + -72x + 3x2 = 0 Solving 450 + -72x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(150 + -24x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(150 + -24x + x2)' equal to zero and attempt to solve: Simplifying 150 + -24x + x2 = 0 Solving 150 + -24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-150' to each side of the equation. 150 + -24x + -150 + x2 = 0 + -150 Reorder the terms: 150 + -150 + -24x + x2 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -24x + x2 = 0 + -150 -24x + x2 = 0 + -150 Combine like terms: 0 + -150 = -150 -24x + x2 = -150 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 = -150 + 144 Reorder the terms: 144 + -24x + x2 = -150 + 144 Combine like terms: -150 + 144 = -6 144 + -24x + x2 = -6 Factor a perfect square on the left side: (x + -12)(x + -12) = -6 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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