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Simplifying 4x10 + -3x5 = 27 Reorder the terms: -3x5 + 4x10 = 27 Solving -3x5 + 4x10 = 27 Solving for variable 'x'. Reorder the terms: -27 + -3x5 + 4x10 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -3x5 + 4x10 = 0 Factor a trinomial. (-9 + -4x5)(3 + -1x5) = 0Subproblem 1
Set the factor '(-9 + -4x5)' equal to zero and attempt to solve: Simplifying -9 + -4x5 = 0 Solving -9 + -4x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x5 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x5 = 0 + 9 -4x5 = 0 + 9 Combine like terms: 0 + 9 = 9 -4x5 = 9 Divide each side by '-4'. x5 = -2.25 Simplifying x5 = -2.25 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 '(3 + -1x5)' equal to zero and attempt to solve: Simplifying 3 + -1x5 = 0 Solving 3 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x5 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x5 = 0 + -3 -1x5 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x5 = -3 Divide each side by '-1'. x5 = 3 Simplifying x5 = 3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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