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

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


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

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

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

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

Combine like terms: -3x + 4x = 1x
x(-3 + 1x + 4x2) = 0
(-3 * x + 1x * x + 4x2 * x) = 0
(-3x + 1x2 + 4x3) = 0

Solving
-3x + 1x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + x + 4x2) = 0

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

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, -1, 0.75}

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