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Simplifying 0 = (x + 4)(x2 + -14x + 74) Reorder the terms: 0 = (4 + x)(x2 + -14x + 74) Reorder the terms: 0 = (4 + x)(74 + -14x + x2) Multiply (4 + x) * (74 + -14x + x2) 0 = (4(74 + -14x + x2) + x(74 + -14x + x2)) 0 = ((74 * 4 + -14x * 4 + x2 * 4) + x(74 + -14x + x2)) 0 = ((296 + -56x + 4x2) + x(74 + -14x + x2)) 0 = (296 + -56x + 4x2 + (74 * x + -14x * x + x2 * x)) 0 = (296 + -56x + 4x2 + (74x + -14x2 + x3)) Reorder the terms: 0 = (296 + -56x + 74x + 4x2 + -14x2 + x3) Combine like terms: -56x + 74x = 18x 0 = (296 + 18x + 4x2 + -14x2 + x3) Combine like terms: 4x2 + -14x2 = -10x2 0 = (296 + 18x + -10x2 + x3) Solving 0 = 296 + 18x + -10x2 + x3 Solving for variable 'x'. Combine like terms: 0 + -296 = -296 -296 + -18x + 10x2 + -1x3 = 296 + 18x + -10x2 + x3 + -296 + -18x + 10x2 + -1x3 Reorder the terms: -296 + -18x + 10x2 + -1x3 = 296 + -296 + 18x + -18x + -10x2 + 10x2 + x3 + -1x3 Combine like terms: 296 + -296 = 0 -296 + -18x + 10x2 + -1x3 = 0 + 18x + -18x + -10x2 + 10x2 + x3 + -1x3 -296 + -18x + 10x2 + -1x3 = 18x + -18x + -10x2 + 10x2 + x3 + -1x3 Combine like terms: 18x + -18x = 0 -296 + -18x + 10x2 + -1x3 = 0 + -10x2 + 10x2 + x3 + -1x3 -296 + -18x + 10x2 + -1x3 = -10x2 + 10x2 + x3 + -1x3 Combine like terms: -10x2 + 10x2 = 0 -296 + -18x + 10x2 + -1x3 = 0 + x3 + -1x3 -296 + -18x + 10x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -296 + -18x + 10x2 + -1x3 = 0 The solution to this equation could not be determined.
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