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Simplifying 0 = 7x2 + -2x + 12 * 7x2 + 9x + 13 Multiply 12 * 7 0 = 7x2 + -2x + 84x2 + 9x + 13 Reorder the terms: 0 = 13 + -2x + 9x + 7x2 + 84x2 Combine like terms: -2x + 9x = 7x 0 = 13 + 7x + 7x2 + 84x2 Combine like terms: 7x2 + 84x2 = 91x2 0 = 13 + 7x + 91x2 Solving 0 = 13 + 7x + 91x2 Solving for variable 'x'. Combine like terms: 0 + -13 = -13 -13 + -7x + -91x2 = 13 + 7x + 91x2 + -13 + -7x + -91x2 Reorder the terms: -13 + -7x + -91x2 = 13 + -13 + 7x + -7x + 91x2 + -91x2 Combine like terms: 13 + -13 = 0 -13 + -7x + -91x2 = 0 + 7x + -7x + 91x2 + -91x2 -13 + -7x + -91x2 = 7x + -7x + 91x2 + -91x2 Combine like terms: 7x + -7x = 0 -13 + -7x + -91x2 = 0 + 91x2 + -91x2 -13 + -7x + -91x2 = 91x2 + -91x2 Combine like terms: 91x2 + -91x2 = 0 -13 + -7x + -91x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(13 + 7x + 91x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(13 + 7x + 91x2)' equal to zero and attempt to solve: Simplifying 13 + 7x + 91x2 = 0 Solving 13 + 7x + 91x2 = 0 Begin completing the square. Divide all terms by 91 the coefficient of the squared term: Divide each side by '91'. 0.1428571429 + 0.07692307692x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + 0.07692307692x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + 0.07692307692x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + 0.07692307692x + x2 = 0 + -0.1428571429 0.07692307692x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 0.07692307692x + x2 = -0.1428571429 The x term is 0.07692307692x. Take half its coefficient (0.03846153846). Square it (0.001479289941) and add it to both sides. Add '0.001479289941' to each side of the equation. 0.07692307692x + 0.001479289941 + x2 = -0.1428571429 + 0.001479289941 Reorder the terms: 0.001479289941 + 0.07692307692x + x2 = -0.1428571429 + 0.001479289941 Combine like terms: -0.1428571429 + 0.001479289941 = -0.141377852959 0.001479289941 + 0.07692307692x + x2 = -0.141377852959 Factor a perfect square on the left side: (x + 0.03846153846)(x + 0.03846153846) = -0.141377852959 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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