56w^2-23w-63=0

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Solution for 56w^2-23w-63=0 equation:


Simplifying
56w2 + -23w + -63 = 0

Reorder the terms:
-63 + -23w + 56w2 = 0

Solving
-63 + -23w + 56w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -8w)(9 + -7w) = 0

Subproblem 1

Set the factor '(-7 + -8w)' equal to zero and attempt to solve: Simplifying -7 + -8w = 0 Solving -7 + -8w = 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 + -8w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8w = 0 + 7 -8w = 0 + 7 Combine like terms: 0 + 7 = 7 -8w = 7 Divide each side by '-8'. w = -0.875 Simplifying w = -0.875

Subproblem 2

Set the factor '(9 + -7w)' equal to zero and attempt to solve: Simplifying 9 + -7w = 0 Solving 9 + -7w = 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 + -7w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7w = 0 + -9 -7w = 0 + -9 Combine like terms: 0 + -9 = -9 -7w = -9 Divide each side by '-7'. w = 1.285714286 Simplifying w = 1.285714286

Solution

w = {-0.875, 1.285714286}

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