8x^2+9x+2=1

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Solution for 8x^2+9x+2=1 equation:


Simplifying
8x2 + 9x + 2 = 1

Reorder the terms:
2 + 9x + 8x2 = 1

Solving
2 + 9x + 8x2 = 1

Solving for variable 'x'.

Reorder the terms:
2 + -1 + 9x + 8x2 = 1 + -1

Combine like terms: 2 + -1 = 1
1 + 9x + 8x2 = 1 + -1

Combine like terms: 1 + -1 = 0
1 + 9x + 8x2 = 0

Factor a trinomial.
(1 + x)(1 + 8x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 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 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125

Solution

x = {-1, -0.125}

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