(7x^2+5x+7)*(4x-6)=

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Solution for (7x^2+5x+7)*(4x-6)= equation: 


Simplifying
(7x2 + 5x + 7)(4x + -6) = 0

Reorder the terms:
(7 + 5x + 7x2)(4x + -6) = 0

Reorder the terms:
(7 + 5x + 7x2)(-6 + 4x) = 0

Multiply (7 + 5x + 7x2) * (-6 + 4x)
(7(-6 + 4x) + 5x * (-6 + 4x) + 7x2 * (-6 + 4x)) = 0
((-6 * 7 + 4x * 7) + 5x * (-6 + 4x) + 7x2 * (-6 + 4x)) = 0
((-42 + 28x) + 5x * (-6 + 4x) + 7x2 * (-6 + 4x)) = 0
(-42 + 28x + (-6 * 5x + 4x * 5x) + 7x2 * (-6 + 4x)) = 0
(-42 + 28x + (-30x + 20x2) + 7x2 * (-6 + 4x)) = 0
(-42 + 28x + -30x + 20x2 + (-6 * 7x2 + 4x * 7x2)) = 0
(-42 + 28x + -30x + 20x2 + (-42x2 + 28x3)) = 0

Combine like terms: 28x + -30x = -2x
(-42 + -2x + 20x2 + -42x2 + 28x3) = 0

Combine like terms: 20x2 + -42x2 = -22x2
(-42 + -2x + -22x2 + 28x3) = 0

Solving
-42 + -2x + -22x2 + 28x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -1x + -11x2 + 14x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-21 + -1x + -11x2 + 14x3)' equal to zero and attempt to solve:

Simplifying
-21 + -1x + -11x2 + 14x3 = 0

Solving
-21 + -1x + -11x2 + 14x3 = 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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