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Simplifying (7x2 + 5x + -7)(4x + 6) = 0 Reorder the terms: (-7 + 5x + 7x2)(4x + 6) = 0 Reorder the terms: (-7 + 5x + 7x2)(6 + 4x) = 0 Multiply (-7 + 5x + 7x2) * (6 + 4x) (-7(6 + 4x) + 5x * (6 + 4x) + 7x2 * (6 + 4x)) = 0 ((6 * -7 + 4x * -7) + 5x * (6 + 4x) + 7x2 * (6 + 4x)) = 0 ((-42 + -28x) + 5x * (6 + 4x) + 7x2 * (6 + 4x)) = 0 (-42 + -28x + (6 * 5x + 4x * 5x) + 7x2 * (6 + 4x)) = 0 (-42 + -28x + (30x + 20x2) + 7x2 * (6 + 4x)) = 0 (-42 + -28x + 30x + 20x2 + (6 * 7x2 + 4x * 7x2)) = 0 (-42 + -28x + 30x + 20x2 + (42x2 + 28x3)) = 0 Combine like terms: -28x + 30x = 2x (-42 + 2x + 20x2 + 42x2 + 28x3) = 0 Combine like terms: 20x2 + 42x2 = 62x2 (-42 + 2x + 62x2 + 28x3) = 0 Solving -42 + 2x + 62x2 + 28x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + x + 31x2 + 14x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + x + 31x2 + 14x3)' equal to zero and attempt to solve: Simplifying -21 + x + 31x2 + 14x3 = 0 Solving -21 + x + 31x2 + 14x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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