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Simplifying 5x(x + -3) + -2x + 6 = 0 Reorder the terms: 5x(-3 + x) + -2x + 6 = 0 (-3 * 5x + x * 5x) + -2x + 6 = 0 (-15x + 5x2) + -2x + 6 = 0 Reorder the terms: 6 + -15x + -2x + 5x2 = 0 Combine like terms: -15x + -2x = -17x 6 + -17x + 5x2 = 0 Solving 6 + -17x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 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 = {0.4, 3}
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