2x*x+x=21

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Solution for 2x*x+x=21 equation:


Simplifying
2x * x + x = 21

Multiply x * x
2x2 + x = 21

Reorder the terms:
x + 2x2 = 21

Solving
x + 2x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + x + 2x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-3.5, 3}

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