2x^2+9x+4=(2x+1)

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Solution for 2x^2+9x+4=(2x+1) equation:


Simplifying
2x2 + 9x + 4 = (2x + 1)

Reorder the terms:
4 + 9x + 2x2 = (2x + 1)

Reorder the terms:
4 + 9x + 2x2 = (1 + 2x)

Remove parenthesis around (1 + 2x)
4 + 9x + 2x2 = 1 + 2x

Solving
4 + 9x + 2x2 = 1 + 2x

Solving for variable 'x'.

Reorder the terms:
4 + -1 + 9x + -2x + 2x2 = 1 + 2x + -1 + -2x

Combine like terms: 4 + -1 = 3
3 + 9x + -2x + 2x2 = 1 + 2x + -1 + -2x

Combine like terms: 9x + -2x = 7x
3 + 7x + 2x2 = 1 + 2x + -1 + -2x

Reorder the terms:
3 + 7x + 2x2 = 1 + -1 + 2x + -2x

Combine like terms: 1 + -1 = 0
3 + 7x + 2x2 = 0 + 2x + -2x
3 + 7x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 7x + 2x2 = 0

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

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

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 = {-3, -0.5}

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