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Simplifying 5x3(8x2 + -9x + 7) = 0 Reorder the terms: 5x3(7 + -9x + 8x2) = 0 (7 * 5x3 + -9x * 5x3 + 8x2 * 5x3) = 0 (35x3 + -45x4 + 40x5) = 0 Solving 35x3 + -45x4 + 40x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x3'. 5x3(7 + -9x + 8x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -9x + 8x2)' equal to zero and attempt to solve: Simplifying 7 + -9x + 8x2 = 0 Solving 7 + -9x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + -1.125x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -1.125x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -1.125x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -1.125x + x2 = 0 + -0.875 -1.125x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -1.125x + x2 = -0.875 The x term is -1.125x. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125x + 0.31640625 + x2 = -0.875 + 0.31640625 Reorder the terms: 0.31640625 + -1.125x + x2 = -0.875 + 0.31640625 Combine like terms: -0.875 + 0.31640625 = -0.55859375 0.31640625 + -1.125x + x2 = -0.55859375 Factor a perfect square on the left side: (x + -0.5625)(x + -0.5625) = -0.55859375 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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