(7x-35)(x^2+x-20)=0

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Solution for (7x-35)(x^2+x-20)=0 equation:


Simplifying
(7x + -35)(x2 + x + -20) = 0

Reorder the terms:
(-35 + 7x)(x2 + x + -20) = 0

Reorder the terms:
(-35 + 7x)(-20 + x + x2) = 0

Multiply (-35 + 7x) * (-20 + x + x2)
(-35(-20 + x + x2) + 7x * (-20 + x + x2)) = 0
((-20 * -35 + x * -35 + x2 * -35) + 7x * (-20 + x + x2)) = 0
((700 + -35x + -35x2) + 7x * (-20 + x + x2)) = 0
(700 + -35x + -35x2 + (-20 * 7x + x * 7x + x2 * 7x)) = 0
(700 + -35x + -35x2 + (-140x + 7x2 + 7x3)) = 0

Reorder the terms:
(700 + -35x + -140x + -35x2 + 7x2 + 7x3) = 0

Combine like terms: -35x + -140x = -175x
(700 + -175x + -35x2 + 7x2 + 7x3) = 0

Combine like terms: -35x2 + 7x2 = -28x2
(700 + -175x + -28x2 + 7x3) = 0

Solving
700 + -175x + -28x2 + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(100 + -25x + -4x2 + x3) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(100 + -25x + -4x2 + x3)' equal to zero and attempt to solve: Simplifying 100 + -25x + -4x2 + x3 = 0 Solving 100 + -25x + -4x2 + 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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