F(x)=7x(4x+4)

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Solution for F(x)=7x(4x+4) equation:


Simplifying
F(x) = 7x(4x + 4)

Multiply F * x
xF = 7x(4x + 4)

Reorder the terms:
xF = 7x(4 + 4x)
xF = (4 * 7x + 4x * 7x)
xF = (28x + 28x2)

Solving
xF = 28x + 28x2

Solving for variable 'x'.

Reorder the terms:
-28x + xF + -28x2 = 28x + 28x2 + -28x + -28x2

Reorder the terms:
-28x + xF + -28x2 = 28x + -28x + 28x2 + -28x2

Combine like terms: 28x + -28x = 0
-28x + xF + -28x2 = 0 + 28x2 + -28x2
-28x + xF + -28x2 = 28x2 + -28x2

Combine like terms: 28x2 + -28x2 = 0
-28x + xF + -28x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-28 + F + -28x) = 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 '(-28 + F + -28x)' equal to zero and attempt to solve: Simplifying -28 + F + -28x = 0 Solving -28 + F + -28x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + F + 28 + -28x = 0 + 28 Reorder the terms: -28 + 28 + F + -28x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + F + -28x = 0 + 28 F + -28x = 0 + 28 Combine like terms: 0 + 28 = 28 F + -28x = 28 Add '-1F' to each side of the equation. F + -1F + -28x = 28 + -1F Combine like terms: F + -1F = 0 0 + -28x = 28 + -1F -28x = 28 + -1F Divide each side by '-28'. x = -1 + 0.03571428571F Simplifying x = -1 + 0.03571428571F

Solution

x = {0, -1 + 0.03571428571F}

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