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Simplifying 2x * 2x + -30x + 72 = 0 Reorder the terms for easier multiplication: 2 * 2x * x + -30x + 72 = 0 Multiply 2 * 2 4x * x + -30x + 72 = 0 Multiply x * x 4x2 + -30x + 72 = 0 Reorder the terms: 72 + -30x + 4x2 = 0 Solving 72 + -30x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(36 + -15x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(36 + -15x + 2x2)' equal to zero and attempt to solve: Simplifying 36 + -15x + 2x2 = 0 Solving 36 + -15x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 18 + -7.5x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -7.5x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -7.5x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7.5x + x2 = 0 + -18 -7.5x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -7.5x + x2 = -18 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -18 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -18 + 14.0625 Combine like terms: -18 + 14.0625 = -3.9375 14.0625 + -7.5x + x2 = -3.9375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -3.9375 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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