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Simplifying 2x(2x) + -4x + 2 + -8x(8x) + -5 = 0 Remove parenthesis around (2x) 2x * 2x + -4x + 2 + -8x(8x) + -5 = 0 Reorder the terms for easier multiplication: 2 * 2x * x + -4x + 2 + -8x(8x) + -5 = 0 Multiply 2 * 2 4x * x + -4x + 2 + -8x(8x) + -5 = 0 Multiply x * x 4x2 + -4x + 2 + -8x(8x) + -5 = 0 Remove parenthesis around (8x) 4x2 + -4x + 2 + -8x * 8x + -5 = 0 Reorder the terms for easier multiplication: 4x2 + -4x + 2 + -8 * 8x * x + -5 = 0 Multiply -8 * 8 4x2 + -4x + 2 + -64x * x + -5 = 0 Multiply x * x 4x2 + -4x + 2 + -64x2 + -5 = 0 Reorder the terms: 2 + -5 + -4x + 4x2 + -64x2 = 0 Combine like terms: 2 + -5 = -3 -3 + -4x + 4x2 + -64x2 = 0 Combine like terms: 4x2 + -64x2 = -60x2 -3 + -4x + -60x2 = 0 Solving -3 + -4x + -60x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 4x + 60x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 4x + 60x2)' equal to zero and attempt to solve: Simplifying 3 + 4x + 60x2 = 0 Solving 3 + 4x + 60x2 = 0 Begin completing the square. Divide all terms by 60 the coefficient of the squared term: Divide each side by '60'. 0.05 + 0.06666666667x + x2 = 0.0 Move the constant term to the right: Add '-0.05' to each side of the equation. 0.05 + 0.06666666667x + -0.05 + x2 = 0.0 + -0.05 Reorder the terms: 0.05 + -0.05 + 0.06666666667x + x2 = 0.0 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 0.06666666667x + x2 = 0.0 + -0.05 0.06666666667x + x2 = 0.0 + -0.05 Combine like terms: 0.0 + -0.05 = -0.05 0.06666666667x + x2 = -0.05 The x term is 0.06666666667x. Take half its coefficient (0.03333333334). Square it (0.001111111112) and add it to both sides. Add '0.001111111112' to each side of the equation. 0.06666666667x + 0.001111111112 + x2 = -0.05 + 0.001111111112 Reorder the terms: 0.001111111112 + 0.06666666667x + x2 = -0.05 + 0.001111111112 Combine like terms: -0.05 + 0.001111111112 = -0.048888888888 0.001111111112 + 0.06666666667x + x2 = -0.048888888888 Factor a perfect square on the left side: (x + 0.03333333334)(x + 0.03333333334) = -0.048888888888 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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