(-10)x^2+10x+775=3250

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Solution for (-10)x^2+10x+775=3250 equation:


Simplifying
(-10) * x2 + 10x + 775 = 3250

Reorder the terms:
775 + 10x + -10x2 = 3250

Solving
775 + 10x + -10x2 = 3250

Solving for variable 'x'.

Reorder the terms:
775 + -3250 + 10x + -10x2 = 3250 + -3250

Combine like terms: 775 + -3250 = -2475
-2475 + 10x + -10x2 = 3250 + -3250

Combine like terms: 3250 + -3250 = 0
-2475 + 10x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-495 + 2x + -2x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-495 + 2x + -2x2)' equal to zero and attempt to solve: Simplifying -495 + 2x + -2x2 = 0 Solving -495 + 2x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 247.5 + -1x + x2 = 0 Move the constant term to the right: Add '-247.5' to each side of the equation. 247.5 + -1x + -247.5 + x2 = 0 + -247.5 Reorder the terms: 247.5 + -247.5 + -1x + x2 = 0 + -247.5 Combine like terms: 247.5 + -247.5 = 0.0 0.0 + -1x + x2 = 0 + -247.5 -1x + x2 = 0 + -247.5 Combine like terms: 0 + -247.5 = -247.5 -1x + x2 = -247.5 The x term is -1x. 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 = -247.5 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -247.5 + 0.25 Combine like terms: -247.5 + 0.25 = -247.25 0.25 + -1x + x2 = -247.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -247.25 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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