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Simplifying -8x(-8x + -6) = -6x + -22 Reorder the terms: -8x(-6 + -8x) = -6x + -22 (-6 * -8x + -8x * -8x) = -6x + -22 (48x + 64x2) = -6x + -22 Reorder the terms: 48x + 64x2 = -22 + -6x Solving 48x + 64x2 = -22 + -6x Solving for variable 'x'. Reorder the terms: 22 + 48x + 6x + 64x2 = -22 + -6x + 22 + 6x Combine like terms: 48x + 6x = 54x 22 + 54x + 64x2 = -22 + -6x + 22 + 6x Reorder the terms: 22 + 54x + 64x2 = -22 + 22 + -6x + 6x Combine like terms: -22 + 22 = 0 22 + 54x + 64x2 = 0 + -6x + 6x 22 + 54x + 64x2 = -6x + 6x Combine like terms: -6x + 6x = 0 22 + 54x + 64x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + 27x + 32x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 27x + 32x2)' equal to zero and attempt to solve: Simplifying 11 + 27x + 32x2 = 0 Solving 11 + 27x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.34375 + 0.84375x + x2 = 0 Move the constant term to the right: Add '-0.34375' to each side of the equation. 0.34375 + 0.84375x + -0.34375 + x2 = 0 + -0.34375 Reorder the terms: 0.34375 + -0.34375 + 0.84375x + x2 = 0 + -0.34375 Combine like terms: 0.34375 + -0.34375 = 0.00000 0.00000 + 0.84375x + x2 = 0 + -0.34375 0.84375x + x2 = 0 + -0.34375 Combine like terms: 0 + -0.34375 = -0.34375 0.84375x + x2 = -0.34375 The x term is 0.84375x. Take half its coefficient (0.421875). Square it (0.1779785156) and add it to both sides. Add '0.1779785156' to each side of the equation. 0.84375x + 0.1779785156 + x2 = -0.34375 + 0.1779785156 Reorder the terms: 0.1779785156 + 0.84375x + x2 = -0.34375 + 0.1779785156 Combine like terms: -0.34375 + 0.1779785156 = -0.1657714844 0.1779785156 + 0.84375x + x2 = -0.1657714844 Factor a perfect square on the left side: (x + 0.421875)(x + 0.421875) = -0.1657714844 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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