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Simplifying 0 = 2x2 + -16x + 36 Reorder the terms: 0 = 36 + -16x + 2x2 Solving 0 = 36 + -16x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -36 = -36 -36 + 16x + -2x2 = 36 + -16x + 2x2 + -36 + 16x + -2x2 Reorder the terms: -36 + 16x + -2x2 = 36 + -36 + -16x + 16x + 2x2 + -2x2 Combine like terms: 36 + -36 = 0 -36 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2 -36 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2 Combine like terms: -16x + 16x = 0 -36 + 16x + -2x2 = 0 + 2x2 + -2x2 -36 + 16x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -36 + 16x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 8x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 8x + -1x2)' equal to zero and attempt to solve: Simplifying -18 + 8x + -1x2 = 0 Solving -18 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 18 + -8x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -8x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8x + x2 = 0 + -18 -8x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8x + x2 = -18 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -18 + 16 Reorder the terms: 16 + -8x + x2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8x + x2 = -2 Factor a perfect square on the left side: (x + -4)(x + -4) = -2 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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