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Simplifying 5(x + -5) = (x + -3)(c + -3) Reorder the terms: 5(-5 + x) = (x + -3)(c + -3) (-5 * 5 + x * 5) = (x + -3)(c + -3) (-25 + 5x) = (x + -3)(c + -3) Reorder the terms: -25 + 5x = (-3 + x)(c + -3) Reorder the terms: -25 + 5x = (-3 + x)(-3 + c) Multiply (-3 + x) * (-3 + c) -25 + 5x = (-3(-3 + c) + x(-3 + c)) -25 + 5x = ((-3 * -3 + c * -3) + x(-3 + c)) -25 + 5x = ((9 + -3c) + x(-3 + c)) -25 + 5x = (9 + -3c + (-3 * x + c * x)) Reorder the terms: -25 + 5x = (9 + -3c + (cx + -3x)) -25 + 5x = (9 + -3c + (cx + -3x)) -25 + 5x = (9 + -3c + cx + -3x) Solving -25 + 5x = 9 + -3c + cx + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1cx' to each side of the equation. -25 + -1cx + 5x = 9 + -3c + cx + -1cx + -3x Combine like terms: cx + -1cx = 0 -25 + -1cx + 5x = 9 + -3c + 0 + -3x -25 + -1cx + 5x = 9 + -3c + -3x Add '3x' to each side of the equation. -25 + -1cx + 5x + 3x = 9 + -3c + -3x + 3x Combine like terms: 5x + 3x = 8x -25 + -1cx + 8x = 9 + -3c + -3x + 3x Combine like terms: -3x + 3x = 0 -25 + -1cx + 8x = 9 + -3c + 0 -25 + -1cx + 8x = 9 + -3c Add '25' to each side of the equation. -25 + -1cx + 25 + 8x = 9 + 25 + -3c Reorder the terms: -25 + 25 + -1cx + 8x = 9 + 25 + -3c Combine like terms: -25 + 25 = 0 0 + -1cx + 8x = 9 + 25 + -3c -1cx + 8x = 9 + 25 + -3c Combine like terms: 9 + 25 = 34 -1cx + 8x = 34 + -3c Reorder the terms: -34 + 3c + -1cx + 8x = 34 + -3c + -34 + 3c Reorder the terms: -34 + 3c + -1cx + 8x = 34 + -34 + -3c + 3c Combine like terms: 34 + -34 = 0 -34 + 3c + -1cx + 8x = 0 + -3c + 3c -34 + 3c + -1cx + 8x = -3c + 3c Combine like terms: -3c + 3c = 0 -34 + 3c + -1cx + 8x = 0 The solution to this equation could not be determined.
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