-2x^2+4x=20

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Solution for -2x^2+4x=20 equation:


Simplifying
-2x2 + 4x = 20

Reorder the terms:
4x + -2x2 = 20

Solving
4x + -2x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 4x + -2x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 2x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-10 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -10 + 2x + -1x2 = 0 Solving -10 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 10 + -2x + x2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + -2x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -2x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2x + x2 = 0 + -10 -2x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -2x + x2 = -10 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -10 + 1 Reorder the terms: 1 + -2x + x2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + -2x + x2 = -9 Factor a perfect square on the left side: (x + -1)(x + -1) = -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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