6w^2+7w=3

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Solution for 6w^2+7w=3 equation:


Simplifying
6w2 + 7w = 3

Reorder the terms:
7w + 6w2 = 3

Solving
7w + 6w2 = 3

Solving for variable 'w'.

Reorder the terms:
-3 + 7w + 6w2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 7w + 6w2 = 0

Factor a trinomial.
(-3 + -2w)(1 + -3w) = 0

Subproblem 1

Set the factor '(-3 + -2w)' equal to zero and attempt to solve: Simplifying -3 + -2w = 0 Solving -3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = 0 + 3 -2w = 0 + 3 Combine like terms: 0 + 3 = 3 -2w = 3 Divide each side by '-2'. w = -1.5 Simplifying w = -1.5

Subproblem 2

Set the factor '(1 + -3w)' equal to zero and attempt to solve: Simplifying 1 + -3w = 0 Solving 1 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3w = 0 + -1 -3w = 0 + -1 Combine like terms: 0 + -1 = -1 -3w = -1 Divide each side by '-3'. w = 0.3333333333 Simplifying w = 0.3333333333

Solution

w = {-1.5, 0.3333333333}

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