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Simplifying F(x) = (2x)(5sqrt(x)) Multiply F * x xF = (2x)(5sqrt(x)) Remove parenthesis around (2x) xF = 2x(5sqrt(x)) Multiply qrst * x xF = 2x(5qrstx) Remove parenthesis around (5qrstx) xF = 2x * 5qrstx Reorder the terms for easier multiplication: xF = 2 * 5x * qrstx Multiply 2 * 5 xF = 10x * qrstx Multiply x * qrstx xF = 10qrstx2 Solving xF = 10qrstx2 Solving for variable 'x'. Reorder the terms: -10qrstx2 + xF = 10qrstx2 + -10qrstx2 Combine like terms: 10qrstx2 + -10qrstx2 = 0 -10qrstx2 + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-10qrstx + F) = 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 '(-10qrstx + F)' equal to zero and attempt to solve: Simplifying -10qrstx + F = 0 Reorder the terms: F + -10qrstx = 0 Solving F + -10qrstx = 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 + -10qrstx = 0 + -1F Combine like terms: F + -1F = 0 0 + -10qrstx = 0 + -1F -10qrstx = 0 + -1F Remove the zero: -10qrstx = -1F Divide each side by '-10qrst'. x = 0.1q-1r-1s-1t-1F Simplifying x = 0.1q-1r-1s-1t-1FSolution
x = {0, 0.1q-1r-1s-1t-1F}
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