H(x)=-(3x)

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Solution for H(x)=-(3x) equation:


Simplifying
H(x) = -1(3x)

Multiply H * x
xH = -1(3x)

Remove parenthesis around (3x)
xH = -1 * 3x

Multiply -1 * 3
xH = -3x

Solving
xH = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3x + xH = -3x + 3x

Combine like terms: -3x + 3x = 0
3x + xH = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + H) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + H)' equal to zero and attempt to solve: Simplifying 3 + H = 0 Solving 3 + H = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + H = 0 + -3 Combine like terms: 3 + -3 = 0 0 + H = 0 + -3 H = 0 + -3 Combine like terms: 0 + -3 = -3 H = -3 Add '-1H' to each side of the equation. H + -1H = -3 + -1H Combine like terms: H + -1H = 0 0 = -3 + -1H Simplifying 0 = -3 + -1H The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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