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Simplifying 15x2 + 2x2 = (x + 3)(x + -3) Combine like terms: 15x2 + 2x2 = 17x2 17x2 = (x + 3)(x + -3) Reorder the terms: 17x2 = (3 + x)(x + -3) Reorder the terms: 17x2 = (3 + x)(-3 + x) Multiply (3 + x) * (-3 + x) 17x2 = (3(-3 + x) + x(-3 + x)) 17x2 = ((-3 * 3 + x * 3) + x(-3 + x)) 17x2 = ((-9 + 3x) + x(-3 + x)) 17x2 = (-9 + 3x + (-3 * x + x * x)) 17x2 = (-9 + 3x + (-3x + x2)) Combine like terms: 3x + -3x = 0 17x2 = (-9 + 0 + x2) 17x2 = (-9 + x2) Solving 17x2 = -9 + x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 17x2 + -1x2 = -9 + x2 + -1x2 Combine like terms: 17x2 + -1x2 = 16x2 16x2 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 16x2 = -9 + 0 16x2 = -9 Divide each side by '16'. x2 = -0.5625 Simplifying x2 = -0.5625 Reorder the terms: 0.5625 + x2 = -0.5625 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.5625 + x2 = 0.0000 The solution to this equation could not be determined.
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