35x^2+19x+8=6

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Solution for 35x^2+19x+8=6 equation:


Simplifying
35x2 + 19x + 8 = 6

Reorder the terms:
8 + 19x + 35x2 = 6

Solving
8 + 19x + 35x2 = 6

Solving for variable 'x'.

Reorder the terms:
8 + -6 + 19x + 35x2 = 6 + -6

Combine like terms: 8 + -6 = 2
2 + 19x + 35x2 = 6 + -6

Combine like terms: 6 + -6 = 0
2 + 19x + 35x2 = 0

Factor a trinomial.
(2 + 5x)(1 + 7x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429

Solution

x = {-0.4, -0.1428571429}

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