2x^2+x+2x+1=66

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Solution for 2x^2+x+2x+1=66 equation:


Simplifying
2x2 + x + 2x + 1 = 66

Reorder the terms:
1 + x + 2x + 2x2 = 66

Combine like terms: x + 2x = 3x
1 + 3x + 2x2 = 66

Solving
1 + 3x + 2x2 = 66

Solving for variable 'x'.

Reorder the terms:
1 + -66 + 3x + 2x2 = 66 + -66

Combine like terms: 1 + -66 = -65
-65 + 3x + 2x2 = 66 + -66

Combine like terms: 66 + -66 = 0
-65 + 3x + 2x2 = 0

Factor a trinomial.
(-13 + -2x)(5 + -1x) = 0

Subproblem 1

Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-6.5, 5}

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