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Simplifying (5x + 21)(x + -3) = 0 Reorder the terms: (21 + 5x)(x + -3) = 0 Reorder the terms: (21 + 5x)(-3 + x) = 0 Multiply (21 + 5x) * (-3 + x) (21(-3 + x) + 5x * (-3 + x)) = 0 ((-3 * 21 + x * 21) + 5x * (-3 + x)) = 0 ((-63 + 21x) + 5x * (-3 + x)) = 0 (-63 + 21x + (-3 * 5x + x * 5x)) = 0 (-63 + 21x + (-15x + 5x2)) = 0 Combine like terms: 21x + -15x = 6x (-63 + 6x + 5x2) = 0 Solving -63 + 6x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-21 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-21 + -5x)' equal to zero and attempt to solve: Simplifying -21 + -5x = 0 Solving -21 + -5x = 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 + -5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 0 + 21 -5x = 0 + 21 Combine like terms: 0 + 21 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2Subproblem 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 = {-4.2, 3}
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