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Simplifying 4x3 + 4ax2 + -1(x + a) = 0 Reorder the terms: 4x3 + 4ax2 + -1(a + x) = 0 4x3 + 4ax2 + (a * -1 + x * -1) = 0 4x3 + 4ax2 + (-1a + -1x) = 0 Reorder the terms: -1a + 4ax2 + -1x + 4x3 = 0 Solving -1a + 4ax2 + -1x + 4x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -1a + 4ax2 + -1x + x + 4x3 = 0 + x Combine like terms: -1x + x = 0 -1a + 4ax2 + 0 + 4x3 = 0 + x -1a + 4ax2 + 4x3 = 0 + x Remove the zero: -1a + 4ax2 + 4x3 = x Add '-4x3' to each side of the equation. -1a + 4ax2 + 4x3 + -4x3 = x + -4x3 Combine like terms: 4x3 + -4x3 = 0 -1a + 4ax2 + 0 = x + -4x3 -1a + 4ax2 = x + -4x3 Reorder the terms: -1a + 4ax2 + -1x + 4x3 = x + -1x + -4x3 + 4x3 Combine like terms: x + -1x = 0 -1a + 4ax2 + -1x + 4x3 = 0 + -4x3 + 4x3 -1a + 4ax2 + -1x + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 -1a + 4ax2 + -1x + 4x3 = 0 The solution to this equation could not be determined.
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