21x^2=-17x-2

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Solution for 21x^2=-17x-2 equation:


Simplifying
21x2 = -17x + -2

Reorder the terms:
21x2 = -2 + -17x

Solving
21x2 = -2 + -17x

Solving for variable 'x'.

Reorder the terms:
2 + 17x + 21x2 = -2 + -17x + 2 + 17x

Reorder the terms:
2 + 17x + 21x2 = -2 + 2 + -17x + 17x

Combine like terms: -2 + 2 = 0
2 + 17x + 21x2 = 0 + -17x + 17x
2 + 17x + 21x2 = -17x + 17x

Combine like terms: -17x + 17x = 0
2 + 17x + 21x2 = 0

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

Subproblem 1

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Subproblem 2

Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 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 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429

Solution

x = {-0.6666666667, -0.1428571429}

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