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Simplifying (2x + -7)(2x + 5)(x + -3)(x + 3) + -91 = 0 Reorder the terms: (-7 + 2x)(2x + 5)(x + -3)(x + 3) + -91 = 0 Reorder the terms: (-7 + 2x)(5 + 2x)(x + -3)(x + 3) + -91 = 0 Reorder the terms: (-7 + 2x)(5 + 2x)(-3 + x)(x + 3) + -91 = 0 Reorder the terms: (-7 + 2x)(5 + 2x)(-3 + x)(3 + x) + -91 = 0 Multiply (-7 + 2x) * (5 + 2x) (-7(5 + 2x) + 2x * (5 + 2x))(-3 + x)(3 + x) + -91 = 0 ((5 * -7 + 2x * -7) + 2x * (5 + 2x))(-3 + x)(3 + x) + -91 = 0 ((-35 + -14x) + 2x * (5 + 2x))(-3 + x)(3 + x) + -91 = 0 (-35 + -14x + (5 * 2x + 2x * 2x))(-3 + x)(3 + x) + -91 = 0 (-35 + -14x + (10x + 4x2))(-3 + x)(3 + x) + -91 = 0 Combine like terms: -14x + 10x = -4x (-35 + -4x + 4x2)(-3 + x)(3 + x) + -91 = 0 Multiply (-35 + -4x + 4x2) * (-3 + x) (-35(-3 + x) + -4x * (-3 + x) + 4x2 * (-3 + x))(3 + x) + -91 = 0 ((-3 * -35 + x * -35) + -4x * (-3 + x) + 4x2 * (-3 + x))(3 + x) + -91 = 0 ((105 + -35x) + -4x * (-3 + x) + 4x2 * (-3 + x))(3 + x) + -91 = 0 (105 + -35x + (-3 * -4x + x * -4x) + 4x2 * (-3 + x))(3 + x) + -91 = 0 (105 + -35x + (12x + -4x2) + 4x2 * (-3 + x))(3 + x) + -91 = 0 (105 + -35x + 12x + -4x2 + (-3 * 4x2 + x * 4x2))(3 + x) + -91 = 0 (105 + -35x + 12x + -4x2 + (-12x2 + 4x3))(3 + x) + -91 = 0 Combine like terms: -35x + 12x = -23x (105 + -23x + -4x2 + -12x2 + 4x3)(3 + x) + -91 = 0 Combine like terms: -4x2 + -12x2 = -16x2 (105 + -23x + -16x2 + 4x3)(3 + x) + -91 = 0 Multiply (105 + -23x + -16x2 + 4x3) * (3 + x) (105(3 + x) + -23x * (3 + x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0 ((3 * 105 + x * 105) + -23x * (3 + x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0 ((315 + 105x) + -23x * (3 + x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0 (315 + 105x + (3 * -23x + x * -23x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0 (315 + 105x + (-69x + -23x2) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0 (315 + 105x + -69x + -23x2 + (3 * -16x2 + x * -16x2) + 4x3 * (3 + x)) + -91 = 0 (315 + 105x + -69x + -23x2 + (-48x2 + -16x3) + 4x3 * (3 + x)) + -91 = 0 (315 + 105x + -69x + -23x2 + -48x2 + -16x3 + (3 * 4x3 + x * 4x3)) + -91 = 0 (315 + 105x + -69x + -23x2 + -48x2 + -16x3 + (12x3 + 4x4)) + -91 = 0 Combine like terms: 105x + -69x = 36x (315 + 36x + -23x2 + -48x2 + -16x3 + 12x3 + 4x4) + -91 = 0 Combine like terms: -23x2 + -48x2 = -71x2 (315 + 36x + -71x2 + -16x3 + 12x3 + 4x4) + -91 = 0 Combine like terms: -16x3 + 12x3 = -4x3 (315 + 36x + -71x2 + -4x3 + 4x4) + -91 = 0 Reorder the terms: 315 + -91 + 36x + -71x2 + -4x3 + 4x4 = 0 Combine like terms: 315 + -91 = 224 224 + 36x + -71x2 + -4x3 + 4x4 = 0 Solving 224 + 36x + -71x2 + -4x3 + 4x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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