0=4w^2-3w-10

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Solution for 0=4w^2-3w-10 equation: 


Simplifying
0 = 4w2 + -3w + -10

Reorder the terms:
0 = -10 + -3w + 4w2

Solving
0 = -10 + -3w + 4w2

Solving for variable 'w'.

Combine like terms: 0 + 10 = 10
10 + 3w + -4w2 = -10 + -3w + 4w2 + 10 + 3w + -4w2

Reorder the terms:
10 + 3w + -4w2 = -10 + 10 + -3w + 3w + 4w2 + -4w2

Combine like terms: -10 + 10 = 0
10 + 3w + -4w2 = 0 + -3w + 3w + 4w2 + -4w2
10 + 3w + -4w2 = -3w + 3w + 4w2 + -4w2

Combine like terms: -3w + 3w = 0
10 + 3w + -4w2 = 0 + 4w2 + -4w2
10 + 3w + -4w2 = 4w2 + -4w2

Combine like terms: 4w2 + -4w2 = 0
10 + 3w + -4w2 = 0

Factor a trinomial.
(2 + -1w)(5 + 4w) = 0


Subproblem 1
Set the factor '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2

Subproblem 2
Set the factor '(5 + 4w)' equal to zero and attempt to solve:

Simplifying
5 + 4w = 0

Solving
5 + 4w = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4w = 0 + -5
4w = 0 + -5

Combine like terms: 0 + -5 = -5
4w = -5

Divide each side by '4'.
w = -1.25

Simplifying
w = -1.25
Solution
w = {2, -1.25}

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