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Simplifying 4x * -5x + -9 * 8 + 2 = 7x Reorder the terms for easier multiplication: 4 * -5x * x + -9 * 8 + 2 = 7x Multiply 4 * -5 -20x * x + -9 * 8 + 2 = 7x Multiply x * x -20x2 + -9 * 8 + 2 = 7x Multiply -9 * 8 -20x2 + -72 + 2 = 7x Reorder the terms: -72 + 2 + -20x2 = 7x Combine like terms: -72 + 2 = -70 -70 + -20x2 = 7x Solving -70 + -20x2 = 7x Solving for variable 'x'. Reorder the terms: -70 + -7x + -20x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -70 + -7x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(70 + 7x + 20x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(70 + 7x + 20x2)' equal to zero and attempt to solve: Simplifying 70 + 7x + 20x2 = 0 Solving 70 + 7x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 3.5 + 0.35x + x2 = 0.0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 0.35x + -3.5 + x2 = 0.0 + -3.5 Reorder the terms: 3.5 + -3.5 + 0.35x + x2 = 0.0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 0.35x + x2 = 0.0 + -3.5 0.35x + x2 = 0.0 + -3.5 Combine like terms: 0.0 + -3.5 = -3.5 0.35x + x2 = -3.5 The x term is 0.35x. Take half its coefficient (0.175). Square it (0.030625) and add it to both sides. Add '0.030625' to each side of the equation. 0.35x + 0.030625 + x2 = -3.5 + 0.030625 Reorder the terms: 0.030625 + 0.35x + x2 = -3.5 + 0.030625 Combine like terms: -3.5 + 0.030625 = -3.469375 0.030625 + 0.35x + x2 = -3.469375 Factor a perfect square on the left side: (x + 0.175)(x + 0.175) = -3.469375 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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