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Simplifying -15x2 + -16x + -7 = 0 Reorder the terms: -7 + -16x + -15x2 = 0 Solving -7 + -16x + -15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 16x + 15x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 16x + 15x2)' equal to zero and attempt to solve: Simplifying 7 + 16x + 15x2 = 0 Solving 7 + 16x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4666666667 + 1.066666667x + x2 = 0 Move the constant term to the right: Add '-0.4666666667' to each side of the equation. 0.4666666667 + 1.066666667x + -0.4666666667 + x2 = 0 + -0.4666666667 Reorder the terms: 0.4666666667 + -0.4666666667 + 1.066666667x + x2 = 0 + -0.4666666667 Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000 0.0000000000 + 1.066666667x + x2 = 0 + -0.4666666667 1.066666667x + x2 = 0 + -0.4666666667 Combine like terms: 0 + -0.4666666667 = -0.4666666667 1.066666667x + x2 = -0.4666666667 The x term is 1.066666667x. Take half its coefficient (0.5333333335). Square it (0.2844444446) and add it to both sides. Add '0.2844444446' to each side of the equation. 1.066666667x + 0.2844444446 + x2 = -0.4666666667 + 0.2844444446 Reorder the terms: 0.2844444446 + 1.066666667x + x2 = -0.4666666667 + 0.2844444446 Combine like terms: -0.4666666667 + 0.2844444446 = -0.1822222221 0.2844444446 + 1.066666667x + x2 = -0.1822222221 Factor a perfect square on the left side: (x + 0.5333333335)(x + 0.5333333335) = -0.1822222221 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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