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Simplifying -63x2 + -52x + -54 = 0 Reorder the terms: -54 + -52x + -63x2 = 0 Solving -54 + -52x + -63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(54 + 52x + 63x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(54 + 52x + 63x2)' equal to zero and attempt to solve: Simplifying 54 + 52x + 63x2 = 0 Solving 54 + 52x + 63x2 = 0 Begin completing the square. Divide all terms by 63 the coefficient of the squared term: Divide each side by '63'. 0.8571428571 + 0.8253968254x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 0.8253968254x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 0.8253968254x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 0.8253968254x + x2 = 0 + -0.8571428571 0.8253968254x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 0.8253968254x + x2 = -0.8571428571 The x term is 0.8253968254x. Take half its coefficient (0.4126984127). Square it (0.1703199798) and add it to both sides. Add '0.1703199798' to each side of the equation. 0.8253968254x + 0.1703199798 + x2 = -0.8571428571 + 0.1703199798 Reorder the terms: 0.1703199798 + 0.8253968254x + x2 = -0.8571428571 + 0.1703199798 Combine like terms: -0.8571428571 + 0.1703199798 = -0.6868228773 0.1703199798 + 0.8253968254x + x2 = -0.6868228773 Factor a perfect square on the left side: (x + 0.4126984127)(x + 0.4126984127) = -0.6868228773 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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