10=-x+3x^2

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


Simplifying
10 = -1x + 3x2

Solving
10 = -1x + 3x2

Solving for variable 'x'.

Reorder the terms:
10 + x + -3x2 = -1x + x + 3x2 + -3x2

Combine like terms: -1x + x = 0
10 + x + -3x2 = 0 + 3x2 + -3x2
10 + x + -3x2 = 3x2 + -3x2

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

Factor a trinomial.
(2 + -1x)(5 + 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 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 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667

Solution

x = {2, -1.666666667}

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