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Simplifying 10x2 + -13x + -3 + -1((2x + -3)(5x + 1)) = 0 Reorder the terms: 10x2 + -13x + -3 + -1((-3 + 2x)(5x + 1)) = 0 Reorder the terms: 10x2 + -13x + -3 + -1((-3 + 2x)(1 + 5x)) = 0 Multiply (-3 + 2x) * (1 + 5x) 10x2 + -13x + -3 + -1((-3(1 + 5x) + 2x * (1 + 5x))) = 0 10x2 + -13x + -3 + -1(((1 * -3 + 5x * -3) + 2x * (1 + 5x))) = 0 10x2 + -13x + -3 + -1(((-3 + -15x) + 2x * (1 + 5x))) = 0 10x2 + -13x + -3 + -1((-3 + -15x + (1 * 2x + 5x * 2x))) = 0 10x2 + -13x + -3 + -1((-3 + -15x + (2x + 10x2))) = 0 Combine like terms: -15x + 2x = -13x 10x2 + -13x + -3 + -1((-3 + -13x + 10x2)) = 0 10x2 + -13x + -3 + (-3 * -1 + -13x * -1 + 10x2 * -1) = 0 10x2 + -13x + -3 + (3 + 13x + -10x2) = 0 Reorder the terms: -3 + 3 + -13x + 13x + 10x2 + -10x2 = 0 Combine like terms: -3 + 3 = 0 0 + -13x + 13x + 10x2 + -10x2 = 0 -13x + 13x + 10x2 + -10x2 = 0 Combine like terms: -13x + 13x = 0 0 + 10x2 + -10x2 = 0 10x2 + -10x2 = 0 Combine like terms: 10x2 + -10x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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