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Simplifying -2x(3x2 + -7) = 0 Reorder the terms: -2x(-7 + 3x2) = 0 (-7 * -2x + 3x2 * -2x) = 0 (14x + -6x3) = 0 Solving 14x + -6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(7 + -3x2) = 0 Ignore the factor 2.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 '(7 + -3x2)' equal to zero and attempt to solve: Simplifying 7 + -3x2 = 0 Solving 7 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x2 = 0 + -7 -3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3x2 = -7 Divide each side by '-3'. x2 = 2.333333333 Simplifying x2 = 2.333333333 Take the square root of each side: x = {-1.527525232, 1.527525232}Solution
x = {0, -1.527525232, 1.527525232}
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