3x^2+26x+19=3

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Solution for 3x^2+26x+19=3 equation:


Simplifying
3x2 + 26x + 19 = 3

Reorder the terms:
19 + 26x + 3x2 = 3

Solving
19 + 26x + 3x2 = 3

Solving for variable 'x'.

Reorder the terms:
19 + -3 + 26x + 3x2 = 3 + -3

Combine like terms: 19 + -3 = 16
16 + 26x + 3x2 = 3 + -3

Combine like terms: 3 + -3 = 0
16 + 26x + 3x2 = 0

Factor a trinomial.
(8 + x)(2 + 3x) = 0

Subproblem 1

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {-8, -0.6666666667}

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