7x^2+38x=-15

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Solution for 7x^2+38x=-15 equation:


Simplifying
7x2 + 38x = -15

Reorder the terms:
38x + 7x2 = -15

Solving
38x + 7x2 = -15

Solving for variable 'x'.

Reorder the terms:
15 + 38x + 7x2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 38x + 7x2 = 0

Factor a trinomial.
(5 + x)(3 + 7x) = 0

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286

Solution

x = {-5, -0.4285714286}

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