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Simplifying (4x + -3)(8x + -3) = 0 Reorder the terms: (-3 + 4x)(8x + -3) = 0 Reorder the terms: (-3 + 4x)(-3 + 8x) = 0 Multiply (-3 + 4x) * (-3 + 8x) (-3(-3 + 8x) + 4x * (-3 + 8x)) = 0 ((-3 * -3 + 8x * -3) + 4x * (-3 + 8x)) = 0 ((9 + -24x) + 4x * (-3 + 8x)) = 0 (9 + -24x + (-3 * 4x + 8x * 4x)) = 0 (9 + -24x + (-12x + 32x2)) = 0 Combine like terms: -24x + -12x = -36x (9 + -36x + 32x2) = 0 Solving 9 + -36x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(3 + -4x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 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 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 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 = 0.75Solution
x = {0.375, 0.75}
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