(8x-6)(6x+1)=0

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Solution for (8x-6)(6x+1)=0 equation:


Simplifying
(8x + -6)(6x + 1) = 0

Reorder the terms:
(-6 + 8x)(6x + 1) = 0

Reorder the terms:
(-6 + 8x)(1 + 6x) = 0

Multiply (-6 + 8x) * (1 + 6x)
(-6(1 + 6x) + 8x * (1 + 6x)) = 0
((1 * -6 + 6x * -6) + 8x * (1 + 6x)) = 0
((-6 + -36x) + 8x * (1 + 6x)) = 0
(-6 + -36x + (1 * 8x + 6x * 8x)) = 0
(-6 + -36x + (8x + 48x2)) = 0

Combine like terms: -36x + 8x = -28x
(-6 + -28x + 48x2) = 0

Solving
-6 + -28x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -14x + 24x2) = 0

Factor a trinomial.
2((-1 + -6x)(3 + -4x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 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 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {-0.1666666667, 0.75}

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