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Simplifying 12(x2 + -40x + 900) = 0 Reorder the terms: 12(900 + -40x + x2) = 0 (900 * 12 + -40x * 12 + x2 * 12) = 0 (10800 + -480x + 12x2) = 0 Solving 10800 + -480x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12'. 12(900 + -40x + x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(900 + -40x + x2)' equal to zero and attempt to solve: Simplifying 900 + -40x + x2 = 0 Solving 900 + -40x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-900' to each side of the equation. 900 + -40x + -900 + x2 = 0 + -900 Reorder the terms: 900 + -900 + -40x + x2 = 0 + -900 Combine like terms: 900 + -900 = 0 0 + -40x + x2 = 0 + -900 -40x + x2 = 0 + -900 Combine like terms: 0 + -900 = -900 -40x + x2 = -900 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -900 + 400 Reorder the terms: 400 + -40x + x2 = -900 + 400 Combine like terms: -900 + 400 = -500 400 + -40x + x2 = -500 Factor a perfect square on the left side: (x + -20)(x + -20) = -500 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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