13x^2+3x-10=0

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Solution for 13x^2+3x-10=0 equation:


Simplifying
13x2 + 3x + -10 = 0

Reorder the terms:
-10 + 3x + 13x2 = 0

Solving
-10 + 3x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(10 + -13x) = 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 '(10 + -13x)' equal to zero and attempt to solve: Simplifying 10 + -13x = 0 Solving 10 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -13x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 0 + -10 -13x = 0 + -10 Combine like terms: 0 + -10 = -10 -13x = -10 Divide each side by '-13'. x = 0.7692307692 Simplifying x = 0.7692307692

Solution

x = {-1, 0.7692307692}

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