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Simplifying (7x + 2)(5x + -1s) = 0 Reorder the terms: (2 + 7x)(5x + -1s) = 0 Reorder the terms: (2 + 7x)(-1s + 5x) = 0 Multiply (2 + 7x) * (-1s + 5x) (2(-1s + 5x) + 7x * (-1s + 5x)) = 0 ((-1s * 2 + 5x * 2) + 7x * (-1s + 5x)) = 0 ((-2s + 10x) + 7x * (-1s + 5x)) = 0 (-2s + 10x + (-1s * 7x + 5x * 7x)) = 0 (-2s + 10x + (-7sx + 35x2)) = 0 Reorder the terms: (-2s + -7sx + 10x + 35x2) = 0 (-2s + -7sx + 10x + 35x2) = 0 Solving -2s + -7sx + 10x + 35x2 = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10x' to each side of the equation. -2s + -7sx + 10x + -10x + 35x2 = 0 + -10x Combine like terms: 10x + -10x = 0 -2s + -7sx + 0 + 35x2 = 0 + -10x -2s + -7sx + 35x2 = 0 + -10x Remove the zero: -2s + -7sx + 35x2 = -10x Add '-35x2' to each side of the equation. -2s + -7sx + 35x2 + -35x2 = -10x + -35x2 Combine like terms: 35x2 + -35x2 = 0 -2s + -7sx + 0 = -10x + -35x2 -2s + -7sx = -10x + -35x2 Reorder the terms: -2s + -7sx + 10x + 35x2 = -10x + 10x + -35x2 + 35x2 Combine like terms: -10x + 10x = 0 -2s + -7sx + 10x + 35x2 = 0 + -35x2 + 35x2 -2s + -7sx + 10x + 35x2 = -35x2 + 35x2 Combine like terms: -35x2 + 35x2 = 0 -2s + -7sx + 10x + 35x2 = 0 The solution to this equation could not be determined.
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