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

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


Simplifying
(4x + 1)(3x + -2) = 0

Reorder the terms:
(1 + 4x)(3x + -2) = 0

Reorder the terms:
(1 + 4x)(-2 + 3x) = 0

Multiply (1 + 4x) * (-2 + 3x)
(1(-2 + 3x) + 4x * (-2 + 3x)) = 0
((-2 * 1 + 3x * 1) + 4x * (-2 + 3x)) = 0
((-2 + 3x) + 4x * (-2 + 3x)) = 0
(-2 + 3x + (-2 * 4x + 3x * 4x)) = 0
(-2 + 3x + (-8x + 12x2)) = 0

Combine like terms: 3x + -8x = -5x
(-2 + -5x + 12x2) = 0

Solving
-2 + -5x + 12x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-0.25, 0.6666666667}

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