F(x)=-13x^2+104x

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Solution for F(x)=-13x^2+104x equation:


Simplifying
F(x) = -13x2 + 104x

Multiply F * x
xF = -13x2 + 104x

Reorder the terms:
xF = 104x + -13x2

Solving
xF = 104x + -13x2

Solving for variable 'x'.

Reorder the terms:
-104x + xF + 13x2 = 104x + -13x2 + -104x + 13x2

Reorder the terms:
-104x + xF + 13x2 = 104x + -104x + -13x2 + 13x2

Combine like terms: 104x + -104x = 0
-104x + xF + 13x2 = 0 + -13x2 + 13x2
-104x + xF + 13x2 = -13x2 + 13x2

Combine like terms: -13x2 + 13x2 = 0
-104x + xF + 13x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-104 + F + 13x) = 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 '(-104 + F + 13x)' equal to zero and attempt to solve: Simplifying -104 + F + 13x = 0 Solving -104 + F + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '104' to each side of the equation. -104 + F + 104 + 13x = 0 + 104 Reorder the terms: -104 + 104 + F + 13x = 0 + 104 Combine like terms: -104 + 104 = 0 0 + F + 13x = 0 + 104 F + 13x = 0 + 104 Combine like terms: 0 + 104 = 104 F + 13x = 104 Add '-1F' to each side of the equation. F + -1F + 13x = 104 + -1F Combine like terms: F + -1F = 0 0 + 13x = 104 + -1F 13x = 104 + -1F Divide each side by '13'. x = 8 + -0.07692307692F Simplifying x = 8 + -0.07692307692F

Solution

x = {0, 8 + -0.07692307692F}

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