x(35x+73)=-18

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Solution for x(35x+73)=-18 equation:


Simplifying
x(35x + 73) = -18

Reorder the terms:
x(73 + 35x) = -18
(73 * x + 35x * x) = -18
(73x + 35x2) = -18

Solving
73x + 35x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + 73x + 35x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 73x + 35x2 = 0

Factor a trinomial.
(9 + 5x)(2 + 7x) = 0

Subproblem 1

Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8

Subproblem 2

Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857

Solution

x = {-1.8, -0.2857142857}

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