-49x^2+4606x=94080

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Solution for -49x^2+4606x=94080 equation:


Simplifying
-49x2 + 4606x = 94080

Reorder the terms:
4606x + -49x2 = 94080

Solving
4606x + -49x2 = 94080

Solving for variable 'x'.

Reorder the terms:
-94080 + 4606x + -49x2 = 94080 + -94080

Combine like terms: 94080 + -94080 = 0
-94080 + 4606x + -49x2 = 0

Factor out the Greatest Common Factor (GCF), '49'.
49(-1920 + 94x + -1x2) = 0

Factor a trinomial.
49((-64 + x)(30 + -1x)) = 0

Ignore the factor 49.

Subproblem 1

Set the factor '(-64 + x)' equal to zero and attempt to solve: Simplifying -64 + x = 0 Solving -64 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + x = 0 + 64 x = 0 + 64 Combine like terms: 0 + 64 = 64 x = 64 Simplifying x = 64

Subproblem 2

Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30

Solution

x = {64, 30}

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