3x^2+19x=14

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Solution for 3x^2+19x=14 equation:


Simplifying
3x2 + 19x = 14

Reorder the terms:
19x + 3x2 = 14

Solving
19x + 3x2 = 14

Solving for variable 'x'.

Reorder the terms:
-14 + 19x + 3x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 19x + 3x2 = 0

Factor a trinomial.
(-7 + -1x)(2 + -3x) = 0

Subproblem 1

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

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 = {-7, 0.6666666667}

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