F(x)=7x^2-14x

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Solution for F(x)=7x^2-14x equation:


Simplifying
F(x) = 7x2 + -14x

Multiply F * x
xF = 7x2 + -14x

Reorder the terms:
xF = -14x + 7x2

Solving
xF = -14x + 7x2

Solving for variable 'x'.

Reorder the terms:
14x + xF + -7x2 = -14x + 7x2 + 14x + -7x2

Reorder the terms:
14x + xF + -7x2 = -14x + 14x + 7x2 + -7x2

Combine like terms: -14x + 14x = 0
14x + xF + -7x2 = 0 + 7x2 + -7x2
14x + xF + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
14x + xF + -7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + F + -7x) = 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 '(14 + F + -7x)' equal to zero and attempt to solve: Simplifying 14 + F + -7x = 0 Solving 14 + F + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + F + -14 + -7x = 0 + -14 Reorder the terms: 14 + -14 + F + -7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + F + -7x = 0 + -14 F + -7x = 0 + -14 Combine like terms: 0 + -14 = -14 F + -7x = -14 Add '-1F' to each side of the equation. F + -1F + -7x = -14 + -1F Combine like terms: F + -1F = 0 0 + -7x = -14 + -1F -7x = -14 + -1F Divide each side by '-7'. x = 2 + 0.1428571429F Simplifying x = 2 + 0.1428571429F

Solution

x = {0, 2 + 0.1428571429F}

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