30=(3x+1)(x)

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Solution for 30=(3x+1)(x) equation:


Simplifying
30 = (3x + 1)(x)

Reorder the terms:
30 = (1 + 3x)(x)

Reorder the terms for easier multiplication:
30 = x(1 + 3x)
30 = (1 * x + 3x * x)
30 = (1x + 3x2)

Solving
30 = 1x + 3x2

Solving for variable 'x'.

Reorder the terms:
30 + -1x + -3x2 = 1x + -1x + 3x2 + -3x2

Combine like terms: 1x + -1x = 0
30 + -1x + -3x2 = 0 + 3x2 + -3x2
30 + -1x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
30 + -1x + -3x2 = 0

Factor a trinomial.
(3 + -1x)(10 + 3x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(10 + 3x)' equal to zero and attempt to solve: Simplifying 10 + 3x = 0 Solving 10 + 3x = 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 + 3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 0 + -10 3x = 0 + -10 Combine like terms: 0 + -10 = -10 3x = -10 Divide each side by '3'. x = -3.333333333 Simplifying x = -3.333333333

Solution

x = {3, -3.333333333}

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