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Simplifying -5x2 + 40x = 325 Reorder the terms: 40x + -5x2 = 325 Solving 40x + -5x2 = 325 Solving for variable 'x'. Reorder the terms: -325 + 40x + -5x2 = 325 + -325 Combine like terms: 325 + -325 = 0 -325 + 40x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-65 + 8x + -1x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-65 + 8x + -1x2)' equal to zero and attempt to solve: Simplifying -65 + 8x + -1x2 = 0 Solving -65 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 65 + -8x + x2 = 0 Move the constant term to the right: Add '-65' to each side of the equation. 65 + -8x + -65 + x2 = 0 + -65 Reorder the terms: 65 + -65 + -8x + x2 = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -8x + x2 = 0 + -65 -8x + x2 = 0 + -65 Combine like terms: 0 + -65 = -65 -8x + x2 = -65 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 = -65 + 16 Reorder the terms: 16 + -8x + x2 = -65 + 16 Combine like terms: -65 + 16 = -49 16 + -8x + x2 = -49 Factor a perfect square on the left side: (x + -4)(x + -4) = -49 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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