-21x^2=-22x-8

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Solution for -21x^2=-22x-8 equation:


Simplifying
-21x2 = -22x + -8

Reorder the terms:
-21x2 = -8 + -22x

Solving
-21x2 = -8 + -22x

Solving for variable 'x'.

Reorder the terms:
8 + 22x + -21x2 = -8 + -22x + 8 + 22x

Reorder the terms:
8 + 22x + -21x2 = -8 + 8 + -22x + 22x

Combine like terms: -8 + 8 = 0
8 + 22x + -21x2 = 0 + -22x + 22x
8 + 22x + -21x2 = -22x + 22x

Combine like terms: -22x + 22x = 0
8 + 22x + -21x2 = 0

Factor a trinomial.
(4 + -3x)(2 + 7x) = 0

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857

Solution

x = {1.333333333, -0.2857142857}

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