(5X-1)(7X+1)=

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Solution for (5X-1)(7X+1)= equation:


Simplifying
(5X + -1)(7X + 1) = 0

Reorder the terms:
(-1 + 5X)(7X + 1) = 0

Reorder the terms:
(-1 + 5X)(1 + 7X) = 0

Multiply (-1 + 5X) * (1 + 7X)
(-1(1 + 7X) + 5X * (1 + 7X)) = 0
((1 * -1 + 7X * -1) + 5X * (1 + 7X)) = 0
((-1 + -7X) + 5X * (1 + 7X)) = 0
(-1 + -7X + (1 * 5X + 7X * 5X)) = 0
(-1 + -7X + (5X + 35X2)) = 0

Combine like terms: -7X + 5X = -2X
(-1 + -2X + 35X2) = 0

Solving
-1 + -2X + 35X2 = 0

Solving for variable 'X'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -5X)' equal to zero and attempt to solve: Simplifying 1 + -5X = 0 Solving 1 + -5X = 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 + -5X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5X = 0 + -1 -5X = 0 + -1 Combine like terms: 0 + -1 = -1 -5X = -1 Divide each side by '-5'. X = 0.2 Simplifying X = 0.2

Solution

X = {-0.1428571429, 0.2}

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