(x^2-7x+10)(3x+27)=0

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Solution for (x^2-7x+10)(3x+27)=0 equation: 


Simplifying
(x2 + -7x + 10)(3x + 27) = 0

Reorder the terms:
(10 + -7x + x2)(3x + 27) = 0

Reorder the terms:
(10 + -7x + x2)(27 + 3x) = 0

Multiply (10 + -7x + x2) * (27 + 3x)
(10(27 + 3x) + -7x * (27 + 3x) + x2(27 + 3x)) = 0
((27 * 10 + 3x * 10) + -7x * (27 + 3x) + x2(27 + 3x)) = 0
((270 + 30x) + -7x * (27 + 3x) + x2(27 + 3x)) = 0
(270 + 30x + (27 * -7x + 3x * -7x) + x2(27 + 3x)) = 0
(270 + 30x + (-189x + -21x2) + x2(27 + 3x)) = 0
(270 + 30x + -189x + -21x2 + (27 * x2 + 3x * x2)) = 0
(270 + 30x + -189x + -21x2 + (27x2 + 3x3)) = 0

Combine like terms: 30x + -189x = -159x
(270 + -159x + -21x2 + 27x2 + 3x3) = 0

Combine like terms: -21x2 + 27x2 = 6x2
(270 + -159x + 6x2 + 3x3) = 0

Solving
270 + -159x + 6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(90 + -53x + 2x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(90 + -53x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
90 + -53x + 2x2 + x3 = 0

Solving
90 + -53x + 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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