F(x)=4x^2-x^2

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Solution for F(x)=4x^2-x^2 equation:


Simplifying
F(x) = 4x2 + -1x2

Multiply F * x
xF = 4x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
xF = 3x2

Solving
xF = 3x2

Solving for variable 'x'.

Combine like terms: 3x2 + -3x2 = 0
xF + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + -3x) = 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 '(F + -3x)' equal to zero and attempt to solve: Simplifying F + -3x = 0 Solving F + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -3x = 0 + -1F Combine like terms: F + -1F = 0 0 + -3x = 0 + -1F -3x = 0 + -1F Remove the zero: -3x = -1F Divide each side by '-3'. x = 0.3333333333F Simplifying x = 0.3333333333F

Solution

x = {0, 0.3333333333F}

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