35=x(17-2x)

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Solution for 35=x(17-2x) equation:


Simplifying
35 = x(17 + -2x)
35 = (17 * x + -2x * x)
35 = (17x + -2x2)

Solving
35 = 17x + -2x2

Solving for variable 'x'.

Reorder the terms:
35 + -17x + 2x2 = 17x + -17x + -2x2 + 2x2

Combine like terms: 17x + -17x = 0
35 + -17x + 2x2 = 0 + -2x2 + 2x2
35 + -17x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
35 + -17x + 2x2 = 0

Factor a trinomial.
(7 + -2x)(5 + -1x) = 0

Subproblem 1

Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {3.5, 5}

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