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Simplifying B(x) = 1.2x + -1(0.12x) * 3 Multiply B * x xB = 1.2x + -1(0.12x) * 3 Remove parenthesis around (0.12x) xB = 1.2x + -1 * 0.12x * 3 Reorder the terms for easier multiplication: xB = 1.2x + -1 * 0.12 * 3x Multiply -1 * 0.12 xB = 1.2x + -0.12 * 3x Multiply -0.12 * 3 xB = 1.2x + -0.36x Combine like terms: 1.2x + -0.36x = 0.84x xB = 0.84x Solving xB = 0.84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.84x' to each side of the equation. -0.84x + xB = 0.84x + -0.84x Combine like terms: 0.84x + -0.84x = 0.00 -0.84x + xB = 0.00 Factor out the Greatest Common Factor (GCF), 'x'. x(-0.84 + B) = 0.00Subproblem 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 '(-0.84 + B)' equal to zero and attempt to solve: Simplifying -0.84 + B = 0 Solving -0.84 + B = 0 Move all terms containing x to the left, all other terms to the right. Add '0.84' to each side of the equation. -0.84 + 0.84 + B = 0 + 0.84 Combine like terms: -0.84 + 0.84 = 0.00 0.00 + B = 0 + 0.84 B = 0 + 0.84 Combine like terms: 0 + 0.84 = 0.84 B = 0.84 Add '-1B' to each side of the equation. B + -1B = 0.84 + -1B Combine like terms: B + -1B = 0 0 = 0.84 + -1B Simplifying 0 = 0.84 + -1B The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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