(x^2-6)(4+h)-(x^2-6)(4)=

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Solution for (x^2-6)(4+h)-(x^2-6)(4)= equation:


Simplifying
(x2 + -6)(4 + h) + -1(x2 + -6)(4) = 0

Reorder the terms:
(-6 + x2)(4 + h) + -1(x2 + -6)(4) = 0

Multiply (-6 + x2) * (4 + h)
(-6(4 + h) + x2(4 + h)) + -1(x2 + -6)(4) = 0
((4 * -6 + h * -6) + x2(4 + h)) + -1(x2 + -6)(4) = 0
((-24 + -6h) + x2(4 + h)) + -1(x2 + -6)(4) = 0
(-24 + -6h + (4 * x2 + h * x2)) + -1(x2 + -6)(4) = 0

Reorder the terms:
(-24 + -6h + (hx2 + 4x2)) + -1(x2 + -6)(4) = 0
(-24 + -6h + (hx2 + 4x2)) + -1(x2 + -6)(4) = 0
(-24 + -6h + hx2 + 4x2) + -1(x2 + -6)(4) = 0

Reorder the terms:
-24 + -6h + hx2 + 4x2 + -1(-6 + x2)(4) = 0

Reorder the terms for easier multiplication:
-24 + -6h + hx2 + 4x2 + -1 * 4(-6 + x2) = 0

Multiply -1 * 4
-24 + -6h + hx2 + 4x2 + -4(-6 + x2) = 0
-24 + -6h + hx2 + 4x2 + (-6 * -4 + x2 * -4) = 0
-24 + -6h + hx2 + 4x2 + (24 + -4x2) = 0

Reorder the terms:
-24 + 24 + -6h + hx2 + 4x2 + -4x2 = 0

Combine like terms: -24 + 24 = 0
0 + -6h + hx2 + 4x2 + -4x2 = 0
-6h + hx2 + 4x2 + -4x2 = 0

Combine like terms: 4x2 + -4x2 = 0
-6h + hx2 + 0 = 0
-6h + hx2 = 0

Solving
-6h + hx2 = 0

Solving for variable 'h'.

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

Factor out the Greatest Common Factor (GCF), 'h'.
h(-6 + x2) = 0

Subproblem 1

Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0

Subproblem 2

Set the factor '(-6 + x2)' equal to zero and attempt to solve: Simplifying -6 + x2 = 0 Solving -6 + x2 = 0 Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x2 = 0 + 6 x2 = 0 + 6 Combine like terms: 0 + 6 = 6 x2 = 6 Add '-1x2' to each side of the equation. x2 + -1x2 = 6 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 6 + -1x2 Simplifying 0 = 6 + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

h = {0}

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