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Simplifying -6 + -14x = 15x2 Solving -6 + -14x = 15x2 Solving for variable 'x'. Combine like terms: 15x2 + -15x2 = 0 -6 + -14x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 14x + 15x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + 14x + 15x2)' equal to zero and attempt to solve: Simplifying 6 + 14x + 15x2 = 0 Solving 6 + 14x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.4 + 0.9333333333x + x2 = 0 Move the constant term to the right: Add '-0.4' to each side of the equation. 0.4 + 0.9333333333x + -0.4 + x2 = 0 + -0.4 Reorder the terms: 0.4 + -0.4 + 0.9333333333x + x2 = 0 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.9333333333x + x2 = 0 + -0.4 0.9333333333x + x2 = 0 + -0.4 Combine like terms: 0 + -0.4 = -0.4 0.9333333333x + x2 = -0.4 The x term is 0.9333333333x. Take half its coefficient (0.4666666667). Square it (0.2177777778) and add it to both sides. Add '0.2177777778' to each side of the equation. 0.9333333333x + 0.2177777778 + x2 = -0.4 + 0.2177777778 Reorder the terms: 0.2177777778 + 0.9333333333x + x2 = -0.4 + 0.2177777778 Combine like terms: -0.4 + 0.2177777778 = -0.1822222222 0.2177777778 + 0.9333333333x + x2 = -0.1822222222 Factor a perfect square on the left side: (x + 0.4666666667)(x + 0.4666666667) = -0.1822222222 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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