(5x+6)(3x-1)=

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Solution for (5x+6)(3x-1)= equation:


Simplifying
(5x + 6)(3x + -1) = 0

Reorder the terms:
(6 + 5x)(3x + -1) = 0

Reorder the terms:
(6 + 5x)(-1 + 3x) = 0

Multiply (6 + 5x) * (-1 + 3x)
(6(-1 + 3x) + 5x * (-1 + 3x)) = 0
((-1 * 6 + 3x * 6) + 5x * (-1 + 3x)) = 0
((-6 + 18x) + 5x * (-1 + 3x)) = 0
(-6 + 18x + (-1 * 5x + 3x * 5x)) = 0
(-6 + 18x + (-5x + 15x2)) = 0

Combine like terms: 18x + -5x = 13x
(-6 + 13x + 15x2) = 0

Solving
-6 + 13x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -5x)(1 + -3x) = 0

Subproblem 1

Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2

Subproblem 2

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

Solution

x = {-1.2, 0.3333333333}

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