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Simplifying 4(40 + -16x + 3x2) = 0 (40 * 4 + -16x * 4 + 3x2 * 4) = 0 (160 + -64x + 12x2) = 0 Solving 160 + -64x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(40 + -16x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(40 + -16x + 3x2)' equal to zero and attempt to solve: Simplifying 40 + -16x + 3x2 = 0 Solving 40 + -16x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 13.33333333 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '-13.33333333' to each side of the equation. 13.33333333 + -5.333333333x + -13.33333333 + x2 = 0 + -13.33333333 Reorder the terms: 13.33333333 + -13.33333333 + -5.333333333x + x2 = 0 + -13.33333333 Combine like terms: 13.33333333 + -13.33333333 = 0.00000000 0.00000000 + -5.333333333x + x2 = 0 + -13.33333333 -5.333333333x + x2 = 0 + -13.33333333 Combine like terms: 0 + -13.33333333 = -13.33333333 -5.333333333x + x2 = -13.33333333 The x term is -5.333333333x. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333x + 7.111111113 + x2 = -13.33333333 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = -13.33333333 + 7.111111113 Combine like terms: -13.33333333 + 7.111111113 = -6.222222217 7.111111113 + -5.333333333x + x2 = -6.222222217 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -6.222222217 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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