2x^2+10=8x

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Solution for 2x^2+10=8x equation:


Simplifying
2x2 + 10 = 8x

Reorder the terms:
10 + 2x2 = 8x

Solving
10 + 2x2 = 8x

Solving for variable 'x'.

Reorder the terms:
10 + -8x + 2x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -4x + x2)' equal to zero and attempt to solve: Simplifying 5 + -4x + x2 = 0 Solving 5 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -4x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -4x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x + x2 = 0 + -5 -4x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4x + x2 = -5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -5 + 4 Reorder the terms: 4 + -4x + x2 = -5 + 4 Combine like terms: -5 + 4 = -1 4 + -4x + x2 = -1 Factor a perfect square on the left side: (x + -2)(x + -2) = -1 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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