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Simplifying -7x(8x2 + -6x + 9) = 0 Reorder the terms: -7x(9 + -6x + 8x2) = 0 (9 * -7x + -6x * -7x + 8x2 * -7x) = 0 (-63x + 42x2 + -56x3) = 0 Solving -63x + 42x2 + -56x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-9 + 6x + -8x2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-9 + 6x + -8x2)' equal to zero and attempt to solve: Simplifying -9 + 6x + -8x2 = 0 Solving -9 + 6x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 1.125 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.75x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.75x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.75x + x2 = 0 + -1.125 -0.75x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.75x + x2 = -1.125 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -1.125 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1.125 + 0.140625 Combine like terms: -1.125 + 0.140625 = -0.984375 0.140625 + -0.75x + x2 = -0.984375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.984375 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.Solution
x = {0}
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