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Simplifying -2x2 + 8x = 18 Reorder the terms: 8x + -2x2 = 18 Solving 8x + -2x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + 8x + -2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 4x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 4x + -1x2)' equal to zero and attempt to solve: Simplifying -9 + 4x + -1x2 = 0 Solving -9 + 4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -4x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -4x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x + x2 = 0 + -9 -4x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4x + x2 = -9 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -9 + 4 Reorder the terms: 4 + -4x + x2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4x + x2 = -5 Factor a perfect square on the left side: (x + -2)(x + -2) = -5 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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