164x-x^2=6580

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Solution for 164x-x^2=6580 equation:


Simplifying
164x + -1x2 = 6580

Solving
164x + -1x2 = 6580

Solving for variable 'x'.

Reorder the terms:
-6580 + 164x + -1x2 = 6580 + -6580

Combine like terms: 6580 + -6580 = 0
-6580 + 164x + -1x2 = 0

Factor a trinomial.
(-94 + x)(70 + -1x) = 0

Subproblem 1

Set the factor '(-94 + x)' equal to zero and attempt to solve: Simplifying -94 + x = 0 Solving -94 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + x = 0 + 94 Combine like terms: -94 + 94 = 0 0 + x = 0 + 94 x = 0 + 94 Combine like terms: 0 + 94 = 94 x = 94 Simplifying x = 94

Subproblem 2

Set the factor '(70 + -1x)' equal to zero and attempt to solve: Simplifying 70 + -1x = 0 Solving 70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1x = 0 + -70 -1x = 0 + -70 Combine like terms: 0 + -70 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70

Solution

x = {94, 70}

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