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Simplifying 0 = 4(x2 + 49)(x2 + -36)(x + -7) Reorder the terms: 0 = 4(49 + x2)(x2 + -36)(x + -7) Reorder the terms: 0 = 4(49 + x2)(-36 + x2)(x + -7) Reorder the terms: 0 = 4(49 + x2)(-36 + x2)(-7 + x) Multiply (49 + x2) * (-36 + x2) 0 = 4(49(-36 + x2) + x2(-36 + x2))(-7 + x) 0 = 4((-36 * 49 + x2 * 49) + x2(-36 + x2))(-7 + x) 0 = 4((-1764 + 49x2) + x2(-36 + x2))(-7 + x) 0 = 4(-1764 + 49x2 + (-36 * x2 + x2 * x2))(-7 + x) 0 = 4(-1764 + 49x2 + (-36x2 + x4))(-7 + x) Combine like terms: 49x2 + -36x2 = 13x2 0 = 4(-1764 + 13x2 + x4)(-7 + x) Multiply (-1764 + 13x2 + x4) * (-7 + x) 0 = 4(-1764(-7 + x) + 13x2 * (-7 + x) + x4(-7 + x)) 0 = 4((-7 * -1764 + x * -1764) + 13x2 * (-7 + x) + x4(-7 + x)) 0 = 4((12348 + -1764x) + 13x2 * (-7 + x) + x4(-7 + x)) 0 = 4(12348 + -1764x + (-7 * 13x2 + x * 13x2) + x4(-7 + x)) 0 = 4(12348 + -1764x + (-91x2 + 13x3) + x4(-7 + x)) 0 = 4(12348 + -1764x + -91x2 + 13x3 + (-7 * x4 + x * x4)) 0 = 4(12348 + -1764x + -91x2 + 13x3 + (-7x4 + x5)) 0 = 4(12348 + -1764x + -91x2 + 13x3 + -7x4 + x5) 0 = (12348 * 4 + -1764x * 4 + -91x2 * 4 + 13x3 * 4 + -7x4 * 4 + x5 * 4) 0 = (49392 + -7056x + -364x2 + 52x3 + -28x4 + 4x5) Solving 0 = 49392 + -7056x + -364x2 + 52x3 + -28x4 + 4x5 Solving for variable 'x'. Combine like terms: 0 + -49392 = -49392 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 49392 + -7056x + -364x2 + 52x3 + -28x4 + 4x5 + -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 Reorder the terms: -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 49392 + -49392 + -7056x + 7056x + -364x2 + 364x2 + 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 Combine like terms: 49392 + -49392 = 0 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 0 + -7056x + 7056x + -364x2 + 364x2 + 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = -7056x + 7056x + -364x2 + 364x2 + 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 Combine like terms: -7056x + 7056x = 0 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 0 + -364x2 + 364x2 + 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = -364x2 + 364x2 + 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 Combine like terms: -364x2 + 364x2 = 0 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 0 + 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 52x3 + -52x3 + -28x4 + 28x4 + 4x5 + -4x5 Combine like terms: 52x3 + -52x3 = 0 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 0 + -28x4 + 28x4 + 4x5 + -4x5 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = -28x4 + 28x4 + 4x5 + -4x5 Combine like terms: -28x4 + 28x4 = 0 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 0 + 4x5 + -4x5 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 4x5 + -4x5 Combine like terms: 4x5 + -4x5 = 0 -49392 + 7056x + 364x2 + -52x3 + 28x4 + -4x5 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-12348 + 1764x + 91x2 + -13x3 + 7x4 + -1x5) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12348 + 1764x + 91x2 + -13x3 + 7x4 + -1x5)' equal to zero and attempt to solve: Simplifying -12348 + 1764x + 91x2 + -13x3 + 7x4 + -1x5 = 0 Solving -12348 + 1764x + 91x2 + -13x3 + 7x4 + -1x5 = 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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