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Simplifying (x + -3)(4x + -3) = 0 Reorder the terms: (-3 + x)(4x + -3) = 0 Reorder the terms: (-3 + x)(-3 + 4x) = 0 Multiply (-3 + x) * (-3 + 4x) (-3(-3 + 4x) + x(-3 + 4x)) = 0 ((-3 * -3 + 4x * -3) + x(-3 + 4x)) = 0 ((9 + -12x) + x(-3 + 4x)) = 0 (9 + -12x + (-3 * x + 4x * x)) = 0 (9 + -12x + (-3x + 4x2)) = 0 Combine like terms: -12x + -3x = -15x (9 + -15x + 4x2) = 0 Solving 9 + -15x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(3 + -1x) = 0Subproblem 1
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 = 0.75Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.75, 3}
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