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Simplifying 4x7(-4 + 3x + -8x2) = 0 (-4 * 4x7 + 3x * 4x7 + -8x2 * 4x7) = 0 (-16x7 + 12x8 + -32x9) = 0 Solving -16x7 + 12x8 + -32x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x7'. 4x7(-4 + 3x + -8x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 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 '(-4 + 3x + -8x2)' equal to zero and attempt to solve: Simplifying -4 + 3x + -8x2 = 0 Solving -4 + 3x + -8x2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.5 + -0.375x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.375x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.375x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.375x + x2 = 0 + -0.5 -0.375x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.375x + x2 = -0.5 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 = -0.5 + 0.03515625 Reorder the terms: 0.03515625 + -0.375x + x2 = -0.5 + 0.03515625 Combine like terms: -0.5 + 0.03515625 = -0.46484375 0.03515625 + -0.375x + x2 = -0.46484375 Factor a perfect square on the left side: (x + -0.1875)(x + -0.1875) = -0.46484375 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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