A(x)=-x^2+50x

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Solution for A(x)=-x^2+50x equation:


Simplifying
A(x) = -1x2 + 50x

Multiply A * x
xA = -1x2 + 50x

Reorder the terms:
xA = 50x + -1x2

Solving
xA = 50x + -1x2

Solving for variable 'x'.

Reorder the terms:
-50x + xA + x2 = 50x + -1x2 + -50x + x2

Reorder the terms:
-50x + xA + x2 = 50x + -50x + -1x2 + x2

Combine like terms: 50x + -50x = 0
-50x + xA + x2 = 0 + -1x2 + x2
-50x + xA + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-50x + xA + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-50 + A + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-50 + A + x)' equal to zero and attempt to solve: Simplifying -50 + A + x = 0 Solving -50 + A + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + A + 50 + x = 0 + 50 Reorder the terms: -50 + 50 + A + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + A + x = 0 + 50 A + x = 0 + 50 Combine like terms: 0 + 50 = 50 A + x = 50 Add '-1A' to each side of the equation. A + -1A + x = 50 + -1A Combine like terms: A + -1A = 0 0 + x = 50 + -1A x = 50 + -1A Simplifying x = 50 + -1A

Solution

x = {0, 50 + -1A}

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