2x^2-13x+29=8

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Solution for 2x^2-13x+29=8 equation:


Simplifying
2x2 + -13x + 29 = 8

Reorder the terms:
29 + -13x + 2x2 = 8

Solving
29 + -13x + 2x2 = 8

Solving for variable 'x'.

Reorder the terms:
29 + -8 + -13x + 2x2 = 8 + -8

Combine like terms: 29 + -8 = 21
21 + -13x + 2x2 = 8 + -8

Combine like terms: 8 + -8 = 0
21 + -13x + 2x2 = 0

Factor a trinomial.
(3 + -1x)(7 + -2x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

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

Solution

x = {3, 3.5}

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