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Simplifying -8x(-5x + -6) = 6x + -22 Reorder the terms: -8x(-6 + -5x) = 6x + -22 (-6 * -8x + -5x * -8x) = 6x + -22 (48x + 40x2) = 6x + -22 Reorder the terms: 48x + 40x2 = -22 + 6x Solving 48x + 40x2 = -22 + 6x Solving for variable 'x'. Reorder the terms: 22 + 48x + -6x + 40x2 = -22 + 6x + 22 + -6x Combine like terms: 48x + -6x = 42x 22 + 42x + 40x2 = -22 + 6x + 22 + -6x Reorder the terms: 22 + 42x + 40x2 = -22 + 22 + 6x + -6x Combine like terms: -22 + 22 = 0 22 + 42x + 40x2 = 0 + 6x + -6x 22 + 42x + 40x2 = 6x + -6x Combine like terms: 6x + -6x = 0 22 + 42x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + 21x + 20x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 21x + 20x2)' equal to zero and attempt to solve: Simplifying 11 + 21x + 20x2 = 0 Solving 11 + 21x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 0.55 + 1.05x + x2 = 0.0 Move the constant term to the right: Add '-0.55' to each side of the equation. 0.55 + 1.05x + -0.55 + x2 = 0.0 + -0.55 Reorder the terms: 0.55 + -0.55 + 1.05x + x2 = 0.0 + -0.55 Combine like terms: 0.55 + -0.55 = 0.00 0.00 + 1.05x + x2 = 0.0 + -0.55 1.05x + x2 = 0.0 + -0.55 Combine like terms: 0.0 + -0.55 = -0.55 1.05x + x2 = -0.55 The x term is 1.05x. Take half its coefficient (0.525). Square it (0.275625) and add it to both sides. Add '0.275625' to each side of the equation. 1.05x + 0.275625 + x2 = -0.55 + 0.275625 Reorder the terms: 0.275625 + 1.05x + x2 = -0.55 + 0.275625 Combine like terms: -0.55 + 0.275625 = -0.274375 0.275625 + 1.05x + x2 = -0.274375 Factor a perfect square on the left side: (x + 0.525)(x + 0.525) = -0.274375 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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