4x^2+9x=-2

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Solution for 4x^2+9x=-2 equation:


Simplifying
4x2 + 9x = -2

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

Solving
9x + 4x2 = -2

Solving for variable 'x'.

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

Combine like terms: -2 + 2 = 0
2 + 9x + 4x2 = 0

Factor a trinomial.
(2 + x)(1 + 4x) = 0

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 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 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25

Solution

x = {-2, -0.25}

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