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Simplifying 30 + -3x[8 + -2x(3 + 1)] = 0 Combine like terms: 3 + 1 = 4 30 + -3x[8 + -2x(4)] = 0 Reorder the terms for easier multiplication: 30 + -3x[8 + -2 * 4x] = 0 Multiply -2 * 4 30 + -3x[8 + -8x] = 0 30 + [8 * -3x + -8x * -3x] = 0 30 + [-24x + 24x2] = 0 Solving 30 + -24x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(5 + -4x + 4x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + -4x + 4x2)' equal to zero and attempt to solve: Simplifying 5 + -4x + 4x2 = 0 Solving 5 + -4x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -1x + x2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -1x + -1.25 + x2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -1x + x2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -1x + x2 = 0 + -1.25 -1x + x2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -1x + x2 = -1.25 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.25 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.25 + 0.25 Combine like terms: -1.25 + 0.25 = -1 0.25 + -1x + x2 = -1 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1 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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