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Simplifying B(x) = 2x2 + 8x Multiply B * x xB = 2x2 + 8x Reorder the terms: xB = 8x + 2x2 Solving xB = 8x + 2x2 Solving for variable 'x'. Reorder the terms: -8x + xB + -2x2 = 8x + 2x2 + -8x + -2x2 Reorder the terms: -8x + xB + -2x2 = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 -8x + xB + -2x2 = 0 + 2x2 + -2x2 -8x + xB + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + xB + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + B + -2x) = 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 '(-8 + B + -2x)' equal to zero and attempt to solve: Simplifying -8 + B + -2x = 0 Solving -8 + B + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + B + 8 + -2x = 0 + 8 Reorder the terms: -8 + 8 + B + -2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + B + -2x = 0 + 8 B + -2x = 0 + 8 Combine like terms: 0 + 8 = 8 B + -2x = 8 Add '-1B' to each side of the equation. B + -1B + -2x = 8 + -1B Combine like terms: B + -1B = 0 0 + -2x = 8 + -1B -2x = 8 + -1B Divide each side by '-2'. x = -4 + 0.5B Simplifying x = -4 + 0.5BSolution
x = {0, -4 + 0.5B}
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