(4x^2+22x-42)(x+7)=0

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Solution for (4x^2+22x-42)(x+7)=0 equation:


Simplifying
(4x2 + 22x + -42)(x + 7) = 0

Reorder the terms:
(-42 + 22x + 4x2)(x + 7) = 0

Reorder the terms:
(-42 + 22x + 4x2)(7 + x) = 0

Multiply (-42 + 22x + 4x2) * (7 + x)
(-42(7 + x) + 22x * (7 + x) + 4x2 * (7 + x)) = 0
((7 * -42 + x * -42) + 22x * (7 + x) + 4x2 * (7 + x)) = 0
((-294 + -42x) + 22x * (7 + x) + 4x2 * (7 + x)) = 0
(-294 + -42x + (7 * 22x + x * 22x) + 4x2 * (7 + x)) = 0
(-294 + -42x + (154x + 22x2) + 4x2 * (7 + x)) = 0
(-294 + -42x + 154x + 22x2 + (7 * 4x2 + x * 4x2)) = 0
(-294 + -42x + 154x + 22x2 + (28x2 + 4x3)) = 0

Combine like terms: -42x + 154x = 112x
(-294 + 112x + 22x2 + 28x2 + 4x3) = 0

Combine like terms: 22x2 + 28x2 = 50x2
(-294 + 112x + 50x2 + 4x3) = 0

Solving
-294 + 112x + 50x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-147 + 56x + 25x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-147 + 56x + 25x2 + 2x3)' equal to zero and attempt to solve: Simplifying -147 + 56x + 25x2 + 2x3 = 0 Solving -147 + 56x + 25x2 + 2x3 = 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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