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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) = 0Subproblem 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 = 0Subproblem 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 + 0.03571428571FSolution
x = {0, -1 + 0.03571428571F}
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