graph(x-6)(x-2)=0

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Solution for graph(x-6)(x-2)=0 equation:


Simplifying
graph(x + -6)(x + -2) = 0

Reorder the terms:
aghpr(-6 + x)(x + -2) = 0

Reorder the terms:
aghpr(-6 + x)(-2 + x) = 0

Multiply (-6 + x) * (-2 + x)
aghpr(-6(-2 + x) + x(-2 + x)) = 0
aghpr((-2 * -6 + x * -6) + x(-2 + x)) = 0
aghpr((12 + -6x) + x(-2 + x)) = 0
aghpr(12 + -6x + (-2 * x + x * x)) = 0
aghpr(12 + -6x + (-2x + x2)) = 0

Combine like terms: -6x + -2x = -8x
aghpr(12 + -8x + x2) = 0
(12 * aghpr + -8x * aghpr + x2 * aghpr) = 0
(12aghpr + -8aghprx + aghprx2) = 0

Solving
12aghpr + -8aghprx + aghprx2 = 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), 'aghpr'.
aghpr(12 + -8x + x2) = 0

Factor a trinomial.
aghpr((2 + -1x)(6 + -1x)) = 0

Subproblem 1

Set the factor 'aghpr' equal to zero and attempt to solve: Simplifying aghpr = 0 Solving aghpr = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aghpr = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

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