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Simplifying 7x(12x + -3) = 0 Reorder the terms: 7x(-3 + 12x) = 0 (-3 * 7x + 12x * 7x) = 0 (-21x + 84x2) = 0 Solving -21x + 84x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '21x'. 21x(-1 + 4x) = 0 Ignore the factor 21.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 '(-1 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25Solution
x = {0, 0.25}
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