x(3x-10)=13

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Solution for x(3x-10)=13 equation:


Simplifying
x(3x + -10) = 13

Reorder the terms:
x(-10 + 3x) = 13
(-10 * x + 3x * x) = 13
(-10x + 3x2) = 13

Solving
-10x + 3x2 = 13

Solving for variable 'x'.

Reorder the terms:
-13 + -10x + 3x2 = 13 + -13

Combine like terms: 13 + -13 = 0
-13 + -10x + 3x2 = 0

Factor a trinomial.
(-1 + -1x)(13 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333

Solution

x = {-1, 4.333333333}

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