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Simplifying -4x(x + -5) = 36 Reorder the terms: -4x(-5 + x) = 36 (-5 * -4x + x * -4x) = 36 (20x + -4x2) = 36 Solving 20x + -4x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + 20x + -4x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 20x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 5x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + 5x + -1x2)' equal to zero and attempt to solve: Simplifying -9 + 5x + -1x2 = 0 Solving -9 + 5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 9 + -5x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -5x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x + x2 = 0 + -9 -5x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5x + x2 = -9 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -9 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + -5x + x2 = -2.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -2.75 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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