5x(x+4)-3(6x+1)=0

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Solution for 5x(x+4)-3(6x+1)=0 equation:


Simplifying
5x(x + 4) + -3(6x + 1) = 0

Reorder the terms:
5x(4 + x) + -3(6x + 1) = 0
(4 * 5x + x * 5x) + -3(6x + 1) = 0
(20x + 5x2) + -3(6x + 1) = 0

Reorder the terms:
20x + 5x2 + -3(1 + 6x) = 0
20x + 5x2 + (1 * -3 + 6x * -3) = 0
20x + 5x2 + (-3 + -18x) = 0

Reorder the terms:
-3 + 20x + -18x + 5x2 = 0

Combine like terms: 20x + -18x = 2x
-3 + 2x + 5x2 = 0

Solving
-3 + 2x + 5x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {-1, 0.6}

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