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Simplifying 1x + -3x(5 + -7x) = 0 1x + (5 * -3x + -7x * -3x) = 0 1x + (-15x + 21x2) = 0 Combine like terms: 1x + -15x = -14x -14x + 21x2 = 0 Solving -14x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-2 + 3x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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, 0.6666666667}
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