2x^2-16x+50=0

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Solution for 2x^2-16x+50=0 equation:


Simplifying
2x2 + -16x + 50 = 0

Reorder the terms:
50 + -16x + 2x2 = 0

Solving
50 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -8x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(25 + -8x + x2)' equal to zero and attempt to solve: Simplifying 25 + -8x + x2 = 0 Solving 25 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -8x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -8x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8x + x2 = 0 + -25 -8x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -8x + x2 = -25 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -25 + 16 Reorder the terms: 16 + -8x + x2 = -25 + 16 Combine like terms: -25 + 16 = -9 16 + -8x + x2 = -9 Factor a perfect square on the left side: (x + -4)(x + -4) = -9 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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