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Simplifying (2x + -3)(5x + 1) + -1(x + -6)(x + 6) + 13x = 0 Reorder the terms: (-3 + 2x)(5x + 1) + -1(x + -6)(x + 6) + 13x = 0 Reorder the terms: (-3 + 2x)(1 + 5x) + -1(x + -6)(x + 6) + 13x = 0 Multiply (-3 + 2x) * (1 + 5x) (-3(1 + 5x) + 2x * (1 + 5x)) + -1(x + -6)(x + 6) + 13x = 0 ((1 * -3 + 5x * -3) + 2x * (1 + 5x)) + -1(x + -6)(x + 6) + 13x = 0 ((-3 + -15x) + 2x * (1 + 5x)) + -1(x + -6)(x + 6) + 13x = 0 (-3 + -15x + (1 * 2x + 5x * 2x)) + -1(x + -6)(x + 6) + 13x = 0 (-3 + -15x + (2x + 10x2)) + -1(x + -6)(x + 6) + 13x = 0 Combine like terms: -15x + 2x = -13x (-3 + -13x + 10x2) + -1(x + -6)(x + 6) + 13x = 0 Reorder the terms: -3 + -13x + 10x2 + -1(-6 + x)(x + 6) + 13x = 0 Reorder the terms: -3 + -13x + 10x2 + -1(-6 + x)(6 + x) + 13x = 0 Multiply (-6 + x) * (6 + x) -3 + -13x + 10x2 + -1(-6(6 + x) + x(6 + x)) + 13x = 0 -3 + -13x + 10x2 + -1((6 * -6 + x * -6) + x(6 + x)) + 13x = 0 -3 + -13x + 10x2 + -1((-36 + -6x) + x(6 + x)) + 13x = 0 -3 + -13x + 10x2 + -1(-36 + -6x + (6 * x + x * x)) + 13x = 0 -3 + -13x + 10x2 + -1(-36 + -6x + (6x + x2)) + 13x = 0 Combine like terms: -6x + 6x = 0 -3 + -13x + 10x2 + -1(-36 + 0 + x2) + 13x = 0 -3 + -13x + 10x2 + -1(-36 + x2) + 13x = 0 -3 + -13x + 10x2 + (-36 * -1 + x2 * -1) + 13x = 0 -3 + -13x + 10x2 + (36 + -1x2) + 13x = 0 Reorder the terms: -3 + 36 + -13x + 13x + 10x2 + -1x2 = 0 Combine like terms: -3 + 36 = 33 33 + -13x + 13x + 10x2 + -1x2 = 0 Combine like terms: -13x + 13x = 0 33 + 0 + 10x2 + -1x2 = 0 33 + 10x2 + -1x2 = 0 Combine like terms: 10x2 + -1x2 = 9x2 33 + 9x2 = 0 Solving 33 + 9x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 9x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 9x2 = 0 + -33 9x2 = 0 + -33 Combine like terms: 0 + -33 = -33 9x2 = -33 Divide each side by '9'. x2 = -3.666666667 Simplifying x2 = -3.666666667 Reorder the terms: 3.666666667 + x2 = -3.666666667 + 3.666666667 Combine like terms: -3.666666667 + 3.666666667 = 0.000000000 3.666666667 + x2 = 0.000000000 The solution to this equation could not be determined.
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