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Simplifying (x + 1)(x + -3) + 10 = -2x + 6 Reorder the terms: (1 + x)(x + -3) + 10 = -2x + 6 Reorder the terms: (1 + x)(-3 + x) + 10 = -2x + 6 Multiply (1 + x) * (-3 + x) (1(-3 + x) + x(-3 + x)) + 10 = -2x + 6 ((-3 * 1 + x * 1) + x(-3 + x)) + 10 = -2x + 6 ((-3 + 1x) + x(-3 + x)) + 10 = -2x + 6 (-3 + 1x + (-3 * x + x * x)) + 10 = -2x + 6 (-3 + 1x + (-3x + x2)) + 10 = -2x + 6 Combine like terms: 1x + -3x = -2x (-3 + -2x + x2) + 10 = -2x + 6 Reorder the terms: -3 + 10 + -2x + x2 = -2x + 6 Combine like terms: -3 + 10 = 7 7 + -2x + x2 = -2x + 6 Reorder the terms: 7 + -2x + x2 = 6 + -2x Add '2x' to each side of the equation. 7 + -2x + 2x + x2 = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 0 + x2 = 6 + -2x + 2x 7 + x2 = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + x2 = 6 + 0 7 + x2 = 6 Solving 7 + x2 = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 6 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 6 + -7 x2 = 6 + -7 Combine like terms: 6 + -7 = -1 x2 = -1 Simplifying x2 = -1 Reorder the terms: 1 + x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + x2 = 0 The solution to this equation could not be determined.
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