(x^2-5x-14)(4x+28)=0

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Solution for (x^2-5x-14)(4x+28)=0 equation:


Simplifying
(x2 + -5x + -14)(4x + 28) = 0

Reorder the terms:
(-14 + -5x + x2)(4x + 28) = 0

Reorder the terms:
(-14 + -5x + x2)(28 + 4x) = 0

Multiply (-14 + -5x + x2) * (28 + 4x)
(-14(28 + 4x) + -5x * (28 + 4x) + x2(28 + 4x)) = 0
((28 * -14 + 4x * -14) + -5x * (28 + 4x) + x2(28 + 4x)) = 0
((-392 + -56x) + -5x * (28 + 4x) + x2(28 + 4x)) = 0
(-392 + -56x + (28 * -5x + 4x * -5x) + x2(28 + 4x)) = 0
(-392 + -56x + (-140x + -20x2) + x2(28 + 4x)) = 0
(-392 + -56x + -140x + -20x2 + (28 * x2 + 4x * x2)) = 0
(-392 + -56x + -140x + -20x2 + (28x2 + 4x3)) = 0

Combine like terms: -56x + -140x = -196x
(-392 + -196x + -20x2 + 28x2 + 4x3) = 0

Combine like terms: -20x2 + 28x2 = 8x2
(-392 + -196x + 8x2 + 4x3) = 0

Solving
-392 + -196x + 8x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-98 + -49x + 2x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-98 + -49x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -98 + -49x + 2x2 + x3 = 0 Solving -98 + -49x + 2x2 + x3 = 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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