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Simplifying 4(x2 + -3x) + 12x2 + x = 0 Reorder the terms: 4(-3x + x2) + 12x2 + x = 0 (-3x * 4 + x2 * 4) + 12x2 + x = 0 (-12x + 4x2) + 12x2 + x = 0 Reorder the terms: -12x + x + 4x2 + 12x2 = 0 Combine like terms: -12x + x = -11x -11x + 4x2 + 12x2 = 0 Combine like terms: 4x2 + 12x2 = 16x2 -11x + 16x2 = 0 Solving -11x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 16x) = 0Subproblem 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 '(-11 + 16x)' equal to zero and attempt to solve: Simplifying -11 + 16x = 0 Solving -11 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 16x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 16x = 0 + 11 16x = 0 + 11 Combine like terms: 0 + 11 = 11 16x = 11 Divide each side by '16'. x = 0.6875 Simplifying x = 0.6875Solution
x = {0, 0.6875}
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