7x^2+13x=24

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Solution for 7x^2+13x=24 equation:


Simplifying
7x2 + 13x = 24

Reorder the terms:
13x + 7x2 = 24

Solving
13x + 7x2 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 13x + 7x2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 13x + 7x2 = 0

Factor a trinomial.
(-3 + -1x)(8 + -7x) = 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 '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143

Solution

x = {-3, 1.142857143}

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