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

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


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

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

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

Multiply (-3 + 4x) * (3 + 3x)
(-3(3 + 3x) + 4x * (3 + 3x)) = 0
((3 * -3 + 3x * -3) + 4x * (3 + 3x)) = 0
((-9 + -9x) + 4x * (3 + 3x)) = 0
(-9 + -9x + (3 * 4x + 3x * 4x)) = 0
(-9 + -9x + (12x + 12x2)) = 0

Combine like terms: -9x + 12x = 3x
(-9 + 3x + 12x2) = 0

Solving
-9 + 3x + 12x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 3.

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 + -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 = {-1, 0.75}

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