(4x)(x)+3x-22=0

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Solution for (4x)(x)+3x-22=0 equation:


Simplifying
(4x)(x) + 3x + -22 = 0

Remove parenthesis around (4x)
4x(x) + 3x + -22 = 0

Multiply x * x
4x2 + 3x + -22 = 0

Reorder the terms:
-22 + 3x + 4x2 = 0

Solving
-22 + 3x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-11 + -4x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -4x)' equal to zero and attempt to solve: Simplifying -11 + -4x = 0 Solving -11 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 0 + 11 -4x = 0 + 11 Combine like terms: 0 + 11 = 11 -4x = 11 Divide each side by '-4'. x = -2.75 Simplifying x = -2.75

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-2.75, 2}

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