-3x^2+5x-8=-10

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Solution for -3x^2+5x-8=-10 equation:


Simplifying
-3x2 + 5x + -8 = -10

Reorder the terms:
-8 + 5x + -3x2 = -10

Solving
-8 + 5x + -3x2 = -10

Solving for variable 'x'.

Reorder the terms:
-8 + 10 + 5x + -3x2 = -10 + 10

Combine like terms: -8 + 10 = 2
2 + 5x + -3x2 = -10 + 10

Combine like terms: -10 + 10 = 0
2 + 5x + -3x2 = 0

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

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {2, -0.3333333333}

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