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Simplifying 2(8x2 + -3x + 7) = 0 Reorder the terms: 2(7 + -3x + 8x2) = 0 (7 * 2 + -3x * 2 + 8x2 * 2) = 0 (14 + -6x + 16x2) = 0 Solving 14 + -6x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -3x + 8x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -3x + 8x2)' equal to zero and attempt to solve: Simplifying 7 + -3x + 8x2 = 0 Solving 7 + -3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -0.375x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.375x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.375x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.375x + x2 = 0 + -0.875 -0.375x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.375x + x2 = -0.875 The x term is -0.375x. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375x + 0.03515625 + x2 = -0.875 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -0.875 + 0.03515625 Combine like terms: -0.875 + 0.03515625 = -0.83984375 0.03515625 + -0.375x + x2 = -0.83984375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -0.83984375 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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