(15x-1)(3x+1)=

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Solution for (15x-1)(3x+1)= equation:


Simplifying
(15x + -1)(3x + 1) = 0

Reorder the terms:
(-1 + 15x)(3x + 1) = 0

Reorder the terms:
(-1 + 15x)(1 + 3x) = 0

Multiply (-1 + 15x) * (1 + 3x)
(-1(1 + 3x) + 15x * (1 + 3x)) = 0
((1 * -1 + 3x * -1) + 15x * (1 + 3x)) = 0
((-1 + -3x) + 15x * (1 + 3x)) = 0
(-1 + -3x + (1 * 15x + 3x * 15x)) = 0
(-1 + -3x + (15x + 45x2)) = 0

Combine like terms: -3x + 15x = 12x
(-1 + 12x + 45x2) = 0

Solving
-1 + 12x + 45x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -3x)(1 + -15x) = 0

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(1 + -15x)' equal to zero and attempt to solve: Simplifying 1 + -15x = 0 Solving 1 + -15x = 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 + -15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 0 + -1 -15x = 0 + -1 Combine like terms: 0 + -1 = -1 -15x = -1 Divide each side by '-15'. x = 0.06666666667 Simplifying x = 0.06666666667

Solution

x = {-0.3333333333, 0.06666666667}

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