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Simplifying -6x2 + 64x + -270 = 0 Reorder the terms: -270 + 64x + -6x2 = 0 Solving -270 + 64x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-135 + 32x + -3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-135 + 32x + -3x2)' equal to zero and attempt to solve: Simplifying -135 + 32x + -3x2 = 0 Solving -135 + 32x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 45 + -10.66666667x + x2 = 0 Move the constant term to the right: Add '-45' to each side of the equation. 45 + -10.66666667x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + -10.66666667x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -10.66666667x + x2 = 0 + -45 -10.66666667x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 -10.66666667x + x2 = -45 The x term is -10.66666667x. Take half its coefficient (-5.333333335). Square it (28.44444446) and add it to both sides. Add '28.44444446' to each side of the equation. -10.66666667x + 28.44444446 + x2 = -45 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667x + x2 = -45 + 28.44444446 Combine like terms: -45 + 28.44444446 = -16.55555554 28.44444446 + -10.66666667x + x2 = -16.55555554 Factor a perfect square on the left side: (x + -5.333333335)(x + -5.333333335) = -16.55555554 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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