14x^2-17x=-5

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Solution for 14x^2-17x=-5 equation:


Simplifying
14x2 + -17x = -5

Reorder the terms:
-17x + 14x2 = -5

Solving
-17x + 14x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + -17x + 14x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -17x + 14x2 = 0

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

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143

Solution

x = {0.5, 0.7142857143}

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