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Simplifying (-10) * x2 + 10x = 3250 Reorder the terms: 10x + -10x2 = 3250 Solving 10x + -10x2 = 3250 Solving for variable 'x'. Reorder the terms: -3250 + 10x + -10x2 = 3250 + -3250 Combine like terms: 3250 + -3250 = 0 -3250 + 10x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-325 + x + -1x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-325 + x + -1x2)' equal to zero and attempt to solve: Simplifying -325 + x + -1x2 = 0 Solving -325 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 325 + -1x + x2 = 0 Move the constant term to the right: Add '-325' to each side of the equation. 325 + -1x + -325 + x2 = 0 + -325 Reorder the terms: 325 + -325 + -1x + x2 = 0 + -325 Combine like terms: 325 + -325 = 0 0 + -1x + x2 = 0 + -325 -1x + x2 = 0 + -325 Combine like terms: 0 + -325 = -325 -1x + x2 = -325 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -325 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -325 + 0.25 Combine like terms: -325 + 0.25 = -324.75 0.25 + -1x + x2 = -324.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -324.75 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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