(x-6)(5x+2)=0

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Solution for (x-6)(5x+2)=0 equation:


Simplifying
(x + -6)(5x + 2) = 0

Reorder the terms:
(-6 + x)(5x + 2) = 0

Reorder the terms:
(-6 + x)(2 + 5x) = 0

Multiply (-6 + x) * (2 + 5x)
(-6(2 + 5x) + x(2 + 5x)) = 0
((2 * -6 + 5x * -6) + x(2 + 5x)) = 0
((-12 + -30x) + x(2 + 5x)) = 0
(-12 + -30x + (2 * x + 5x * x)) = 0
(-12 + -30x + (2x + 5x2)) = 0

Combine like terms: -30x + 2x = -28x
(-12 + -28x + 5x2) = 0

Solving
-12 + -28x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4

Subproblem 2

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

Solution

x = {-0.4, 6}

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