10=-16x^2+10x

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Solution for 10=-16x^2+10x equation:


Simplifying
10 = -16x2 + 10x

Reorder the terms:
10 = 10x + -16x2

Solving
10 = 10x + -16x2

Solving for variable 'x'.

Reorder the terms:
10 + -10x + 16x2 = 10x + -10x + -16x2 + 16x2

Combine like terms: 10x + -10x = 0
10 + -10x + 16x2 = 0 + -16x2 + 16x2
10 + -10x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
10 + -10x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -5x + 8x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -5x + 8x2)' equal to zero and attempt to solve: Simplifying 5 + -5x + 8x2 = 0 Solving 5 + -5x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.625x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.625x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.625x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.625x + x2 = 0 + -0.625 -0.625x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.625x + x2 = -0.625 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -0.625 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -0.625 + 0.09765625 Combine like terms: -0.625 + 0.09765625 = -0.52734375 0.09765625 + -0.625x + x2 = -0.52734375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -0.52734375 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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