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Simplifying 4x(x + 3) + 40 = 36x + 4 Reorder the terms: 4x(3 + x) + 40 = 36x + 4 (3 * 4x + x * 4x) + 40 = 36x + 4 (12x + 4x2) + 40 = 36x + 4 Reorder the terms: 40 + 12x + 4x2 = 36x + 4 Reorder the terms: 40 + 12x + 4x2 = 4 + 36x Solving 40 + 12x + 4x2 = 4 + 36x Solving for variable 'x'. Reorder the terms: 40 + -4 + 12x + -36x + 4x2 = 4 + 36x + -4 + -36x Combine like terms: 40 + -4 = 36 36 + 12x + -36x + 4x2 = 4 + 36x + -4 + -36x Combine like terms: 12x + -36x = -24x 36 + -24x + 4x2 = 4 + 36x + -4 + -36x Reorder the terms: 36 + -24x + 4x2 = 4 + -4 + 36x + -36x Combine like terms: 4 + -4 = 0 36 + -24x + 4x2 = 0 + 36x + -36x 36 + -24x + 4x2 = 36x + -36x Combine like terms: 36x + -36x = 0 36 + -24x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -6x + x2) = 0 Factor a trinomial. 4((3 + -1x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 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 '(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 = {3, 3}
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