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Simplifying (-6x2 + 7x + -8)(-5x2 + -6x + -7) = 0 Reorder the terms: (-8 + 7x + -6x2)(-5x2 + -6x + -7) = 0 Reorder the terms: (-8 + 7x + -6x2)(-7 + -6x + -5x2) = 0 Multiply (-8 + 7x + -6x2) * (-7 + -6x + -5x2) (-8(-7 + -6x + -5x2) + 7x * (-7 + -6x + -5x2) + -6x2 * (-7 + -6x + -5x2)) = 0 ((-7 * -8 + -6x * -8 + -5x2 * -8) + 7x * (-7 + -6x + -5x2) + -6x2 * (-7 + -6x + -5x2)) = 0 ((56 + 48x + 40x2) + 7x * (-7 + -6x + -5x2) + -6x2 * (-7 + -6x + -5x2)) = 0 (56 + 48x + 40x2 + (-7 * 7x + -6x * 7x + -5x2 * 7x) + -6x2 * (-7 + -6x + -5x2)) = 0 (56 + 48x + 40x2 + (-49x + -42x2 + -35x3) + -6x2 * (-7 + -6x + -5x2)) = 0 (56 + 48x + 40x2 + -49x + -42x2 + -35x3 + (-7 * -6x2 + -6x * -6x2 + -5x2 * -6x2)) = 0 (56 + 48x + 40x2 + -49x + -42x2 + -35x3 + (42x2 + 36x3 + 30x4)) = 0 Reorder the terms: (56 + 48x + -49x + 40x2 + -42x2 + 42x2 + -35x3 + 36x3 + 30x4) = 0 Combine like terms: 48x + -49x = -1x (56 + -1x + 40x2 + -42x2 + 42x2 + -35x3 + 36x3 + 30x4) = 0 Combine like terms: 40x2 + -42x2 = -2x2 (56 + -1x + -2x2 + 42x2 + -35x3 + 36x3 + 30x4) = 0 Combine like terms: -2x2 + 42x2 = 40x2 (56 + -1x + 40x2 + -35x3 + 36x3 + 30x4) = 0 Combine like terms: -35x3 + 36x3 = 1x3 (56 + -1x + 40x2 + 1x3 + 30x4) = 0 Solving 56 + -1x + 40x2 + 1x3 + 30x4 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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