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Simplifying 0 = (3x + 5)(2x2 + 6x + 7) Reorder the terms: 0 = (5 + 3x)(2x2 + 6x + 7) Reorder the terms: 0 = (5 + 3x)(7 + 6x + 2x2) Multiply (5 + 3x) * (7 + 6x + 2x2) 0 = (5(7 + 6x + 2x2) + 3x * (7 + 6x + 2x2)) 0 = ((7 * 5 + 6x * 5 + 2x2 * 5) + 3x * (7 + 6x + 2x2)) 0 = ((35 + 30x + 10x2) + 3x * (7 + 6x + 2x2)) 0 = (35 + 30x + 10x2 + (7 * 3x + 6x * 3x + 2x2 * 3x)) 0 = (35 + 30x + 10x2 + (21x + 18x2 + 6x3)) Reorder the terms: 0 = (35 + 30x + 21x + 10x2 + 18x2 + 6x3) Combine like terms: 30x + 21x = 51x 0 = (35 + 51x + 10x2 + 18x2 + 6x3) Combine like terms: 10x2 + 18x2 = 28x2 0 = (35 + 51x + 28x2 + 6x3) Solving 0 = 35 + 51x + 28x2 + 6x3 Solving for variable 'x'. Combine like terms: 0 + -35 = -35 -35 + -51x + -28x2 + -6x3 = 35 + 51x + 28x2 + 6x3 + -35 + -51x + -28x2 + -6x3 Reorder the terms: -35 + -51x + -28x2 + -6x3 = 35 + -35 + 51x + -51x + 28x2 + -28x2 + 6x3 + -6x3 Combine like terms: 35 + -35 = 0 -35 + -51x + -28x2 + -6x3 = 0 + 51x + -51x + 28x2 + -28x2 + 6x3 + -6x3 -35 + -51x + -28x2 + -6x3 = 51x + -51x + 28x2 + -28x2 + 6x3 + -6x3 Combine like terms: 51x + -51x = 0 -35 + -51x + -28x2 + -6x3 = 0 + 28x2 + -28x2 + 6x3 + -6x3 -35 + -51x + -28x2 + -6x3 = 28x2 + -28x2 + 6x3 + -6x3 Combine like terms: 28x2 + -28x2 = 0 -35 + -51x + -28x2 + -6x3 = 0 + 6x3 + -6x3 -35 + -51x + -28x2 + -6x3 = 6x3 + -6x3 Combine like terms: 6x3 + -6x3 = 0 -35 + -51x + -28x2 + -6x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(35 + 51x + 28x2 + 6x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(35 + 51x + 28x2 + 6x3)' equal to zero and attempt to solve: Simplifying 35 + 51x + 28x2 + 6x3 = 0 Solving 35 + 51x + 28x2 + 6x3 = 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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