x(7x+1)=30

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Solution for x(7x+1)=30 equation:


Simplifying
x(7x + 1) = 30

Reorder the terms:
x(1 + 7x) = 30
(1 * x + 7x * x) = 30
(1x + 7x2) = 30

Solving
1x + 7x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + 1x + 7x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 1x + 7x2 = 0

Factor a trinomial.
(-15 + -7x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-15 + -7x)' equal to zero and attempt to solve: Simplifying -15 + -7x = 0 Solving -15 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 0 + 15 -7x = 0 + 15 Combine like terms: 0 + 15 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-2.142857143, 2}

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