w(10w+3)=7

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Solution for w(10w+3)=7 equation:


Simplifying
w(10w + 3) = 7

Reorder the terms:
w(3 + 10w) = 7
(3 * w + 10w * w) = 7
(3w + 10w2) = 7

Solving
3w + 10w2 = 7

Solving for variable 'w'.

Reorder the terms:
-7 + 3w + 10w2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 3w + 10w2 = 0

Factor a trinomial.
(-1 + -1w)(7 + -10w) = 0

Subproblem 1

Set the factor '(-1 + -1w)' equal to zero and attempt to solve: Simplifying -1 + -1w = 0 Solving -1 + -1w = 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 + -1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1w = 0 + 1 -1w = 0 + 1 Combine like terms: 0 + 1 = 1 -1w = 1 Divide each side by '-1'. w = -1 Simplifying w = -1

Subproblem 2

Set the factor '(7 + -10w)' equal to zero and attempt to solve: Simplifying 7 + -10w = 0 Solving 7 + -10w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10w = 0 + -7 -10w = 0 + -7 Combine like terms: 0 + -7 = -7 -10w = -7 Divide each side by '-10'. w = 0.7 Simplifying w = 0.7

Solution

w = {-1, 0.7}

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