(4x+6)(5-w)=0

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Solution for (4x+6)(5-w)=0 equation:


Simplifying
(4x + 6)(5 + -1w) = 0

Reorder the terms:
(6 + 4x)(5 + -1w) = 0

Multiply (6 + 4x) * (5 + -1w)
(6(5 + -1w) + 4x * (5 + -1w)) = 0
((5 * 6 + -1w * 6) + 4x * (5 + -1w)) = 0
((30 + -6w) + 4x * (5 + -1w)) = 0
(30 + -6w + (5 * 4x + -1w * 4x)) = 0

Reorder the terms:
(30 + -6w + (-4wx + 20x)) = 0
(30 + -6w + (-4wx + 20x)) = 0
(30 + -6w + -4wx + 20x) = 0

Solving
30 + -6w + -4wx + 20x = 0

Solving for variable 'w'.

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

Add '-30' to each side of the equation.
30 + -6w + -4wx + -30 + 20x = 0 + -30

Reorder the terms:
30 + -30 + -6w + -4wx + 20x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6w + -4wx + 20x = 0 + -30
-6w + -4wx + 20x = 0 + -30

Combine like terms: 0 + -30 = -30
-6w + -4wx + 20x = -30

Add '-20x' to each side of the equation.
-6w + -4wx + 20x + -20x = -30 + -20x

Combine like terms: 20x + -20x = 0
-6w + -4wx + 0 = -30 + -20x
-6w + -4wx = -30 + -20x

Reorder the terms:
30 + -6w + -4wx + 20x = -30 + -20x + 30 + 20x

Reorder the terms:
30 + -6w + -4wx + 20x = -30 + 30 + -20x + 20x

Combine like terms: -30 + 30 = 0
30 + -6w + -4wx + 20x = 0 + -20x + 20x
30 + -6w + -4wx + 20x = -20x + 20x

Combine like terms: -20x + 20x = 0
30 + -6w + -4wx + 20x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -3w + -2wx + 10x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(15 + -3w + -2wx + 10x)' equal to zero and attempt to solve: Simplifying 15 + -3w + -2wx + 10x = 0 Solving 15 + -3w + -2wx + 10x = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -3w + -2wx + -15 + 10x = 0 + -15 Reorder the terms: 15 + -15 + -3w + -2wx + 10x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3w + -2wx + 10x = 0 + -15 -3w + -2wx + 10x = 0 + -15 Combine like terms: 0 + -15 = -15 -3w + -2wx + 10x = -15 Add '-10x' to each side of the equation. -3w + -2wx + 10x + -10x = -15 + -10x Combine like terms: 10x + -10x = 0 -3w + -2wx + 0 = -15 + -10x -3w + -2wx = -15 + -10x 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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