(20-2x)x=90

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Solution for (20-2x)x=90 equation:


Simplifying
(20 + -2x) * x = 90

Reorder the terms for easier multiplication:
x(20 + -2x) = 90
(20 * x + -2x * x) = 90
(20x + -2x2) = 90

Solving
20x + -2x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 20x + -2x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 20x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 10x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-45 + 10x + -1x2)' equal to zero and attempt to solve: Simplifying -45 + 10x + -1x2 = 0 Solving -45 + 10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 45 + -10x + x2 = 0 Move the constant term to the right: Add '-45' to each side of the equation. 45 + -10x + -45 + x2 = 0 + -45 Reorder the terms: 45 + -45 + -10x + x2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -10x + x2 = 0 + -45 -10x + x2 = 0 + -45 Combine like terms: 0 + -45 = -45 -10x + x2 = -45 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -45 + 25 Reorder the terms: 25 + -10x + x2 = -45 + 25 Combine like terms: -45 + 25 = -20 25 + -10x + x2 = -20 Factor a perfect square on the left side: (x + -5)(x + -5) = -20 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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