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Simplifying 7x(2x + -3) + -1(4x2 + -9) = 0 Reorder the terms: 7x(-3 + 2x) + -1(4x2 + -9) = 0 (-3 * 7x + 2x * 7x) + -1(4x2 + -9) = 0 (-21x + 14x2) + -1(4x2 + -9) = 0 Reorder the terms: -21x + 14x2 + -1(-9 + 4x2) = 0 -21x + 14x2 + (-9 * -1 + 4x2 * -1) = 0 -21x + 14x2 + (9 + -4x2) = 0 Reorder the terms: 9 + -21x + 14x2 + -4x2 = 0 Combine like terms: 14x2 + -4x2 = 10x2 9 + -21x + 10x2 = 0 Solving 9 + -21x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(3 + -2x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.6, 1.5}
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