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Simplifying (4x + -21)(x + 3) = 0 Reorder the terms: (-21 + 4x)(x + 3) = 0 Reorder the terms: (-21 + 4x)(3 + x) = 0 Multiply (-21 + 4x) * (3 + x) (-21(3 + x) + 4x * (3 + x)) = 0 ((3 * -21 + x * -21) + 4x * (3 + x)) = 0 ((-63 + -21x) + 4x * (3 + x)) = 0 (-63 + -21x + (3 * 4x + x * 4x)) = 0 (-63 + -21x + (12x + 4x2)) = 0 Combine like terms: -21x + 12x = -9x (-63 + -9x + 4x2) = 0 Solving -63 + -9x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(21 + -4x) = 0Subproblem 1
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 = -3Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve: Simplifying 21 + -4x = 0 Solving 21 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 0 + -21 -4x = 0 + -21 Combine like terms: 0 + -21 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25Solution
x = {-3, 5.25}
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