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

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


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

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

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

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

Reorder the terms:
(270 + -189x + 30x + 27x2 + -21x2 + 3x3) = 0

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

Combine like terms: 27x2 + -21x2 = 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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