5x^2+23x=10

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Solution for 5x^2+23x=10 equation:


Simplifying
5x2 + 23x = 10

Reorder the terms:
23x + 5x2 = 10

Solving
23x + 5x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 23x + 5x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 23x + 5x2 = 0

Factor a trinomial.
(-5 + -1x)(2 + -5x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

Solution

x = {-5, 0.4}

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