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Simplifying 5x + -7x(x + 3) = -2x + -21 Reorder the terms: 5x + -7x(3 + x) = -2x + -21 5x + (3 * -7x + x * -7x) = -2x + -21 5x + (-21x + -7x2) = -2x + -21 Combine like terms: 5x + -21x = -16x -16x + -7x2 = -2x + -21 Reorder the terms: -16x + -7x2 = -21 + -2x Solving -16x + -7x2 = -21 + -2x Solving for variable 'x'. Reorder the terms: 21 + -16x + 2x + -7x2 = -21 + -2x + 21 + 2x Combine like terms: -16x + 2x = -14x 21 + -14x + -7x2 = -21 + -2x + 21 + 2x Reorder the terms: 21 + -14x + -7x2 = -21 + 21 + -2x + 2x Combine like terms: -21 + 21 = 0 21 + -14x + -7x2 = 0 + -2x + 2x 21 + -14x + -7x2 = -2x + 2x Combine like terms: -2x + 2x = 0 21 + -14x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(3 + -2x + -1x2) = 0 Factor a trinomial. 7((1 + -1x)(3 + x)) = 0 Ignore the factor 7.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 = 1Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1, -3}
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