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Simplifying T(x) = x(50 + -2x) * whatisT(5) Multiply T * x xT = x(50 + -2x) * whatisT(5) Reorder the terms for easier multiplication: xT = 5x * ahistwT(50 + -2x) Multiply x * ahistwT xT = 5ahistwxT(50 + -2x) xT = (50 * 5ahistwxT + -2x * 5ahistwxT) xT = (250ahistwxT + -10ahistwx2T) Solving xT = 250ahistwxT + -10ahistwx2T Solving for variable 'x'. Reorder the terms: -250ahistwxT + 10ahistwx2T + xT = 250ahistwxT + -10ahistwx2T + -250ahistwxT + 10ahistwx2T Reorder the terms: -250ahistwxT + 10ahistwx2T + xT = 250ahistwxT + -250ahistwxT + -10ahistwx2T + 10ahistwx2T Combine like terms: 250ahistwxT + -250ahistwxT = 0 -250ahistwxT + 10ahistwx2T + xT = 0 + -10ahistwx2T + 10ahistwx2T -250ahistwxT + 10ahistwx2T + xT = -10ahistwx2T + 10ahistwx2T Combine like terms: -10ahistwx2T + 10ahistwx2T = 0 -250ahistwxT + 10ahistwx2T + xT = 0 Factor out the Greatest Common Factor (GCF), 'xT'. xT(-250ahistw + 10ahistwx + 1) = 0Subproblem 1
Set the factor 'xT' equal to zero and attempt to solve: Simplifying xT = 0 Solving xT = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xT = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-250ahistw + 10ahistwx + 1)' equal to zero and attempt to solve: Simplifying -250ahistw + 10ahistwx + 1 = 0 Reorder the terms: 1 + -250ahistw + 10ahistwx = 0 Solving 1 + -250ahistw + 10ahistwx = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -250ahistw + -1 + 10ahistwx = 0 + -1 Reorder the terms: 1 + -1 + -250ahistw + 10ahistwx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -250ahistw + 10ahistwx = 0 + -1 -250ahistw + 10ahistwx = 0 + -1 Combine like terms: 0 + -1 = -1 -250ahistw + 10ahistwx = -1 Add '250ahistw' to each side of the equation. -250ahistw + 250ahistw + 10ahistwx = -1 + 250ahistw Combine like terms: -250ahistw + 250ahistw = 0 0 + 10ahistwx = -1 + 250ahistw 10ahistwx = -1 + 250ahistw Divide each side by '10ahistw'. x = -0.1a-1h-1i-1s-1t-1w-1 + 25 Simplifying x = -0.1a-1h-1i-1s-1t-1w-1 + 25 Reorder the terms: x = 25 + -0.1a-1h-1i-1s-1t-1w-1Solution
x = {25 + -0.1a-1h-1i-1s-1t-1w-1}
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