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Simplifying g = (x + -6)(x + -6) + -1(x + -4)(x + -9) Reorder the terms: g = (-6 + x)(x + -6) + -1(x + -4)(x + -9) Reorder the terms: g = (-6 + x)(-6 + x) + -1(x + -4)(x + -9) Multiply (-6 + x) * (-6 + x) g = (-6(-6 + x) + x(-6 + x)) + -1(x + -4)(x + -9) g = ((-6 * -6 + x * -6) + x(-6 + x)) + -1(x + -4)(x + -9) g = ((36 + -6x) + x(-6 + x)) + -1(x + -4)(x + -9) g = (36 + -6x + (-6 * x + x * x)) + -1(x + -4)(x + -9) g = (36 + -6x + (-6x + x2)) + -1(x + -4)(x + -9) Combine like terms: -6x + -6x = -12x g = (36 + -12x + x2) + -1(x + -4)(x + -9) Reorder the terms: g = 36 + -12x + x2 + -1(-4 + x)(x + -9) Reorder the terms: g = 36 + -12x + x2 + -1(-4 + x)(-9 + x) Multiply (-4 + x) * (-9 + x) g = 36 + -12x + x2 + -1(-4(-9 + x) + x(-9 + x)) g = 36 + -12x + x2 + -1((-9 * -4 + x * -4) + x(-9 + x)) g = 36 + -12x + x2 + -1((36 + -4x) + x(-9 + x)) g = 36 + -12x + x2 + -1(36 + -4x + (-9 * x + x * x)) g = 36 + -12x + x2 + -1(36 + -4x + (-9x + x2)) Combine like terms: -4x + -9x = -13x g = 36 + -12x + x2 + -1(36 + -13x + x2) g = 36 + -12x + x2 + (36 * -1 + -13x * -1 + x2 * -1) g = 36 + -12x + x2 + (-36 + 13x + -1x2) Reorder the terms: g = 36 + -36 + -12x + 13x + x2 + -1x2 Combine like terms: 36 + -36 = 0 g = 0 + -12x + 13x + x2 + -1x2 g = -12x + 13x + x2 + -1x2 Combine like terms: -12x + 13x = 1x g = 1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 g = 1x + 0 g = 1x Solving g = 1x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Simplifying g = 1x
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