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Simplifying (14x + 9)(5s + -15) = 0 Reorder the terms: (9 + 14x)(5s + -15) = 0 Reorder the terms: (9 + 14x)(-15 + 5s) = 0 Multiply (9 + 14x) * (-15 + 5s) (9(-15 + 5s) + 14x * (-15 + 5s)) = 0 ((-15 * 9 + 5s * 9) + 14x * (-15 + 5s)) = 0 ((-135 + 45s) + 14x * (-15 + 5s)) = 0 (-135 + 45s + (-15 * 14x + 5s * 14x)) = 0 Reorder the terms: (-135 + 45s + (70sx + -210x)) = 0 (-135 + 45s + (70sx + -210x)) = 0 (-135 + 45s + 70sx + -210x) = 0 Solving -135 + 45s + 70sx + -210x = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 45s + 70sx + 135 + -210x = 0 + 135 Reorder the terms: -135 + 135 + 45s + 70sx + -210x = 0 + 135 Combine like terms: -135 + 135 = 0 0 + 45s + 70sx + -210x = 0 + 135 45s + 70sx + -210x = 0 + 135 Combine like terms: 0 + 135 = 135 45s + 70sx + -210x = 135 Add '210x' to each side of the equation. 45s + 70sx + -210x + 210x = 135 + 210x Combine like terms: -210x + 210x = 0 45s + 70sx + 0 = 135 + 210x 45s + 70sx = 135 + 210x Reorder the terms: -135 + 45s + 70sx + -210x = 135 + 210x + -135 + -210x Reorder the terms: -135 + 45s + 70sx + -210x = 135 + -135 + 210x + -210x Combine like terms: 135 + -135 = 0 -135 + 45s + 70sx + -210x = 0 + 210x + -210x -135 + 45s + 70sx + -210x = 210x + -210x Combine like terms: 210x + -210x = 0 -135 + 45s + 70sx + -210x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-27 + 9s + 14sx + -42x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-27 + 9s + 14sx + -42x)' equal to zero and attempt to solve: Simplifying -27 + 9s + 14sx + -42x = 0 Solving -27 + 9s + 14sx + -42x = 0 Move all terms containing s to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 9s + 14sx + 27 + -42x = 0 + 27 Reorder the terms: -27 + 27 + 9s + 14sx + -42x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 9s + 14sx + -42x = 0 + 27 9s + 14sx + -42x = 0 + 27 Combine like terms: 0 + 27 = 27 9s + 14sx + -42x = 27 Add '42x' to each side of the equation. 9s + 14sx + -42x + 42x = 27 + 42x Combine like terms: -42x + 42x = 0 9s + 14sx + 0 = 27 + 42x 9s + 14sx = 27 + 42x 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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