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Simplifying 576 = 60x + -2x2 Solving 576 = 60x + -2x2 Solving for variable 'x'. Reorder the terms: 576 + -60x + 2x2 = 60x + -60x + -2x2 + 2x2 Combine like terms: 60x + -60x = 0 576 + -60x + 2x2 = 0 + -2x2 + 2x2 576 + -60x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 576 + -60x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(288 + -30x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(288 + -30x + x2)' equal to zero and attempt to solve: Simplifying 288 + -30x + x2 = 0 Solving 288 + -30x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-288' to each side of the equation. 288 + -30x + -288 + x2 = 0 + -288 Reorder the terms: 288 + -288 + -30x + x2 = 0 + -288 Combine like terms: 288 + -288 = 0 0 + -30x + x2 = 0 + -288 -30x + x2 = 0 + -288 Combine like terms: 0 + -288 = -288 -30x + x2 = -288 The x term is -30x. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30x + 225 + x2 = -288 + 225 Reorder the terms: 225 + -30x + x2 = -288 + 225 Combine like terms: -288 + 225 = -63 225 + -30x + x2 = -63 Factor a perfect square on the left side: (x + -15)(x + -15) = -63 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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