2x^2+14x+5=3x

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Solution for 2x^2+14x+5=3x equation:


Simplifying
2x2 + 14x + 5 = 3x

Reorder the terms:
5 + 14x + 2x2 = 3x

Solving
5 + 14x + 2x2 = 3x

Solving for variable 'x'.

Reorder the terms:
5 + 14x + -3x + 2x2 = 3x + -3x

Combine like terms: 14x + -3x = 11x
5 + 11x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 11x + 2x2 = 0

Factor a trinomial.
(5 + x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {-5, -0.5}

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