(3x+4)(2x-1)=-4

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Solution for (3x+4)(2x-1)=-4 equation:


Simplifying
(3x + 4)(2x + -1) = -4

Reorder the terms:
(4 + 3x)(2x + -1) = -4

Reorder the terms:
(4 + 3x)(-1 + 2x) = -4

Multiply (4 + 3x) * (-1 + 2x)
(4(-1 + 2x) + 3x * (-1 + 2x)) = -4
((-1 * 4 + 2x * 4) + 3x * (-1 + 2x)) = -4
((-4 + 8x) + 3x * (-1 + 2x)) = -4
(-4 + 8x + (-1 * 3x + 2x * 3x)) = -4
(-4 + 8x + (-3x + 6x2)) = -4

Combine like terms: 8x + -3x = 5x
(-4 + 5x + 6x2) = -4

Add '4' to each side of the equation.
-4 + 5x + 4 + 6x2 = -4 + 4

Reorder the terms:
-4 + 4 + 5x + 6x2 = -4 + 4

Combine like terms: -4 + 4 = 0
0 + 5x + 6x2 = -4 + 4
5x + 6x2 = -4 + 4

Combine like terms: -4 + 4 = 0
5x + 6x2 = 0

Solving
5x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 6x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333

Solution

x = {0, -0.8333333333}

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