550=-16x^2+60x

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Solution for 550=-16x^2+60x equation:


Simplifying
550 = -16x2 + 60x

Reorder the terms:
550 = 60x + -16x2

Solving
550 = 60x + -16x2

Solving for variable 'x'.

Reorder the terms:
550 + -60x + 16x2 = 60x + -60x + -16x2 + 16x2

Combine like terms: 60x + -60x = 0
550 + -60x + 16x2 = 0 + -16x2 + 16x2
550 + -60x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
550 + -60x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(275 + -30x + 8x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(275 + -30x + 8x2)' equal to zero and attempt to solve: Simplifying 275 + -30x + 8x2 = 0 Solving 275 + -30x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 34.375 + -3.75x + x2 = 0 Move the constant term to the right: Add '-34.375' to each side of the equation. 34.375 + -3.75x + -34.375 + x2 = 0 + -34.375 Reorder the terms: 34.375 + -34.375 + -3.75x + x2 = 0 + -34.375 Combine like terms: 34.375 + -34.375 = 0.000 0.000 + -3.75x + x2 = 0 + -34.375 -3.75x + x2 = 0 + -34.375 Combine like terms: 0 + -34.375 = -34.375 -3.75x + x2 = -34.375 The x term is -3.75x. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75x + 3.515625 + x2 = -34.375 + 3.515625 Reorder the terms: 3.515625 + -3.75x + x2 = -34.375 + 3.515625 Combine like terms: -34.375 + 3.515625 = -30.859375 3.515625 + -3.75x + x2 = -30.859375 Factor a perfect square on the left side: (x + -1.875)(x + -1.875) = -30.859375 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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