factor(x^2-5)(x+6)=0

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Solution for factor(x^2-5)(x+6)=0 equation:


Simplifying
factor(x2 + -5)(x + 6) = 0

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

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

Multiply (-5 + x2) * (6 + x)
acfort(-5(6 + x) + x2(6 + x)) = 0
acfort((6 * -5 + x * -5) + x2(6 + x)) = 0
acfort((-30 + -5x) + x2(6 + x)) = 0
acfort(-30 + -5x + (6 * x2 + x * x2)) = 0
acfort(-30 + -5x + (6x2 + x3)) = 0
acfort(-30 + -5x + 6x2 + x3) = 0
(-30 * acfort + -5x * acfort + 6x2 * acfort + x3 * acfort) = 0
(-30acfort + -5acfortx + 6acfortx2 + acfortx3) = 0

Solving
-30acfort + -5acfortx + 6acfortx2 + acfortx3 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'acfort'.
acfort(-30 + -5x + 6x2 + x3) = 0

Subproblem 1

Set the factor 'acfort' equal to zero and attempt to solve: Simplifying acfort = 0 Solving acfort = 0 Move all terms containing a to the left, all other terms to the right. Simplifying acfort = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-30 + -5x + 6x2 + x3)' equal to zero and attempt to solve: Simplifying -30 + -5x + 6x2 + x3 = 0 Solving -30 + -5x + 6x2 + x3 = 0 Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -5x + 6x2 + 30 + x3 = 0 + 30 Reorder the terms: -30 + 30 + -5x + 6x2 + x3 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -5x + 6x2 + x3 = 0 + 30 -5x + 6x2 + x3 = 0 + 30 Combine like terms: 0 + 30 = 30 -5x + 6x2 + x3 = 30 Add '5x' to each side of the equation. -5x + 6x2 + 5x + x3 = 30 + 5x Reorder the terms: -5x + 5x + 6x2 + x3 = 30 + 5x Combine like terms: -5x + 5x = 0 0 + 6x2 + x3 = 30 + 5x 6x2 + x3 = 30 + 5x Add '-6x2' to each side of the equation. 6x2 + -6x2 + x3 = 30 + 5x + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 + x3 = 30 + 5x + -6x2 x3 = 30 + 5x + -6x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 30 + 5x + -6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 30 + 5x + -6x2 + -1x3 Simplifying 0 = 30 + 5x + -6x2 + -1x3 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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