29x^2-24x-68=

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Solution for 29x^2-24x-68= equation:


Simplifying
29x2 + -24x + -68 = 0

Reorder the terms:
-68 + -24x + 29x2 = 0

Solving
-68 + -24x + 29x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-34 + -29x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-34 + -29x)' equal to zero and attempt to solve: Simplifying -34 + -29x = 0 Solving -34 + -29x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -29x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -29x = 0 + 34 -29x = 0 + 34 Combine like terms: 0 + 34 = 34 -29x = 34 Divide each side by '-29'. x = -1.172413793 Simplifying x = -1.172413793

Subproblem 2

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

Solution

x = {-1.172413793, 2}

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