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Simplifying -15x = -5(3x + 7) * 5(3x + 7) * 5(3x + 7) Reorder the terms: -15x = -5(7 + 3x) * 5(3x + 7) * 5(3x + 7) Reorder the terms: -15x = -5(7 + 3x) * 5(7 + 3x) * 5(3x + 7) Reorder the terms: -15x = -5(7 + 3x) * 5(7 + 3x) * 5(7 + 3x) Reorder the terms for easier multiplication: -15x = -5 * 5 * 5(7 + 3x)(7 + 3x)(7 + 3x) Multiply -5 * 5 -15x = -25 * 5(7 + 3x)(7 + 3x)(7 + 3x) Multiply -25 * 5 -15x = -125(7 + 3x)(7 + 3x)(7 + 3x) Multiply (7 + 3x) * (7 + 3x) -15x = -125(7(7 + 3x) + 3x * (7 + 3x))(7 + 3x) -15x = -125((7 * 7 + 3x * 7) + 3x * (7 + 3x))(7 + 3x) -15x = -125((49 + 21x) + 3x * (7 + 3x))(7 + 3x) -15x = -125(49 + 21x + (7 * 3x + 3x * 3x))(7 + 3x) -15x = -125(49 + 21x + (21x + 9x2))(7 + 3x) Combine like terms: 21x + 21x = 42x -15x = -125(49 + 42x + 9x2)(7 + 3x) Multiply (49 + 42x + 9x2) * (7 + 3x) -15x = -125(49(7 + 3x) + 42x * (7 + 3x) + 9x2 * (7 + 3x)) -15x = -125((7 * 49 + 3x * 49) + 42x * (7 + 3x) + 9x2 * (7 + 3x)) -15x = -125((343 + 147x) + 42x * (7 + 3x) + 9x2 * (7 + 3x)) -15x = -125(343 + 147x + (7 * 42x + 3x * 42x) + 9x2 * (7 + 3x)) -15x = -125(343 + 147x + (294x + 126x2) + 9x2 * (7 + 3x)) -15x = -125(343 + 147x + 294x + 126x2 + (7 * 9x2 + 3x * 9x2)) -15x = -125(343 + 147x + 294x + 126x2 + (63x2 + 27x3)) Combine like terms: 147x + 294x = 441x -15x = -125(343 + 441x + 126x2 + 63x2 + 27x3) Combine like terms: 126x2 + 63x2 = 189x2 -15x = -125(343 + 441x + 189x2 + 27x3) -15x = (343 * -125 + 441x * -125 + 189x2 * -125 + 27x3 * -125) -15x = (-42875 + -55125x + -23625x2 + -3375x3) Solving -15x = -42875 + -55125x + -23625x2 + -3375x3 Solving for variable 'x'. Reorder the terms: 42875 + -15x + 55125x + 23625x2 + 3375x3 = -42875 + -55125x + -23625x2 + -3375x3 + 42875 + 55125x + 23625x2 + 3375x3 Combine like terms: -15x + 55125x = 55110x 42875 + 55110x + 23625x2 + 3375x3 = -42875 + -55125x + -23625x2 + -3375x3 + 42875 + 55125x + 23625x2 + 3375x3 Reorder the terms: 42875 + 55110x + 23625x2 + 3375x3 = -42875 + 42875 + -55125x + 55125x + -23625x2 + 23625x2 + -3375x3 + 3375x3 Combine like terms: -42875 + 42875 = 0 42875 + 55110x + 23625x2 + 3375x3 = 0 + -55125x + 55125x + -23625x2 + 23625x2 + -3375x3 + 3375x3 42875 + 55110x + 23625x2 + 3375x3 = -55125x + 55125x + -23625x2 + 23625x2 + -3375x3 + 3375x3 Combine like terms: -55125x + 55125x = 0 42875 + 55110x + 23625x2 + 3375x3 = 0 + -23625x2 + 23625x2 + -3375x3 + 3375x3 42875 + 55110x + 23625x2 + 3375x3 = -23625x2 + 23625x2 + -3375x3 + 3375x3 Combine like terms: -23625x2 + 23625x2 = 0 42875 + 55110x + 23625x2 + 3375x3 = 0 + -3375x3 + 3375x3 42875 + 55110x + 23625x2 + 3375x3 = -3375x3 + 3375x3 Combine like terms: -3375x3 + 3375x3 = 0 42875 + 55110x + 23625x2 + 3375x3 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(8575 + 11022x + 4725x2 + 675x3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8575 + 11022x + 4725x2 + 675x3)' equal to zero and attempt to solve: Simplifying 8575 + 11022x + 4725x2 + 675x3 = 0 Solving 8575 + 11022x + 4725x2 + 675x3 = 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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