7x^2+34x=-24

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Solution for 7x^2+34x=-24 equation:


Simplifying
7x2 + 34x = -24

Reorder the terms:
34x + 7x2 = -24

Solving
34x + 7x2 = -24

Solving for variable 'x'.

Reorder the terms:
24 + 34x + 7x2 = -24 + 24

Combine like terms: -24 + 24 = 0
24 + 34x + 7x2 = 0

Factor a trinomial.
(4 + x)(6 + 7x) = 0

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571

Solution

x = {-4, -0.8571428571}

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