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Simplifying (15x + -10)(15x + -10) = 0 Reorder the terms: (-10 + 15x)(15x + -10) = 0 Reorder the terms: (-10 + 15x)(-10 + 15x) = 0 Multiply (-10 + 15x) * (-10 + 15x) (-10(-10 + 15x) + 15x * (-10 + 15x)) = 0 ((-10 * -10 + 15x * -10) + 15x * (-10 + 15x)) = 0 ((100 + -150x) + 15x * (-10 + 15x)) = 0 (100 + -150x + (-10 * 15x + 15x * 15x)) = 0 (100 + -150x + (-150x + 225x2)) = 0 Combine like terms: -150x + -150x = -300x (100 + -300x + 225x2) = 0 Solving 100 + -300x + 225x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '25'. 25(4 + -12x + 9x2) = 0 Factor a trinomial. 25((2 + -3x)(2 + -3x)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667, 0.6666666667}
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