14=3x^2-19x

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


Simplifying
14 = 3x2 + -19x

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

Solving
14 = -19x + 3x2

Solving for variable 'x'.

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

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

Combine like terms: 3x2 + -3x2 = 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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