10x^2-90x+876=0

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Solution for 10x^2-90x+876=0 equation:


Simplifying
10x2 + -90x + 876 = 0

Reorder the terms:
876 + -90x + 10x2 = 0

Solving
876 + -90x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(438 + -45x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(438 + -45x + 5x2)' equal to zero and attempt to solve: Simplifying 438 + -45x + 5x2 = 0 Solving 438 + -45x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 87.6 + -9x + x2 = 0 Move the constant term to the right: Add '-87.6' to each side of the equation. 87.6 + -9x + -87.6 + x2 = 0 + -87.6 Reorder the terms: 87.6 + -87.6 + -9x + x2 = 0 + -87.6 Combine like terms: 87.6 + -87.6 = 0.0 0.0 + -9x + x2 = 0 + -87.6 -9x + x2 = 0 + -87.6 Combine like terms: 0 + -87.6 = -87.6 -9x + x2 = -87.6 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -87.6 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -87.6 + 20.25 Combine like terms: -87.6 + 20.25 = -67.35 20.25 + -9x + x2 = -67.35 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -67.35 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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