x(2x+5)=403

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Solution for x(2x+5)=403 equation:


Simplifying
x(2x + 5) = 403

Reorder the terms:
x(5 + 2x) = 403
(5 * x + 2x * x) = 403
(5x + 2x2) = 403

Solving
5x + 2x2 = 403

Solving for variable 'x'.

Reorder the terms:
-403 + 5x + 2x2 = 403 + -403

Combine like terms: 403 + -403 = 0
-403 + 5x + 2x2 = 0

Factor a trinomial.
(-31 + -2x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-31 + -2x)' equal to zero and attempt to solve: Simplifying -31 + -2x = 0 Solving -31 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 0 + 31 -2x = 0 + 31 Combine like terms: 0 + 31 = 31 -2x = 31 Divide each side by '-2'. x = -15.5 Simplifying x = -15.5

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-15.5, 13}

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