5w+(w*w)-(4*9)=0

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Solution for 5w+(w*w)-(4*9)=0 equation:


Simplifying
5w + (w * w) + -1(4 * 9) = 0

Multiply w * w
5w + (w2) + -1(4 * 9) = 0
5w + w2 + -1(4 * 9) = 0

Multiply 4 * 9
5w + w2 + -1(36) = 0

Multiply -1 * 36
5w + w2 + -36 = 0

Reorder the terms:
-36 + 5w + w2 = 0

Solving
-36 + 5w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + -1w)(4 + -1w) = 0

Subproblem 1

Set the factor '(-9 + -1w)' equal to zero and attempt to solve: Simplifying -9 + -1w = 0 Solving -9 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1w = 0 + 9 -1w = 0 + 9 Combine like terms: 0 + 9 = 9 -1w = 9 Divide each side by '-1'. w = -9 Simplifying w = -9

Subproblem 2

Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Solution

w = {-9, 4}

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