7x^2-32x+36=0

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Solution for 7x^2-32x+36=0 equation:


Simplifying
7x2 + -32x + 36 = 0

Reorder the terms:
36 + -32x + 7x2 = 0

Solving
36 + -32x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(18 + -7x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(18 + -7x)' equal to zero and attempt to solve: Simplifying 18 + -7x = 0 Solving 18 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 0 + -18 -7x = 0 + -18 Combine like terms: 0 + -18 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571

Solution

x = {2, 2.571428571}

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