(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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