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Simplifying Findg(5a + -2) + 3g(2a) * ifg(x) = x2 + -5x + 3 Reorder the terms: dginF(-2 + 5a) + 3g(2a) * ifg(x) = x2 + -5x + 3 (-2 * dginF + 5a * dginF) + 3g(2a) * ifg(x) = x2 + -5x + 3 Reorder the terms: (5adginF + -2dginF) + 3g(2a) * ifg(x) = x2 + -5x + 3 (5adginF + -2dginF) + 3g(2a) * ifg(x) = x2 + -5x + 3 Remove parenthesis around (2a) 5adginF + -2dginF + 3g * 2a * ifg(x) = x2 + -5x + 3 Reorder the terms for easier multiplication: 5adginF + -2dginF + 3 * 2g * a * fgi * x = x2 + -5x + 3 Multiply 3 * 2 5adginF + -2dginF + 6g * a * fgi * x = x2 + -5x + 3 Multiply g * a 5adginF + -2dginF + 6ag * fgi * x = x2 + -5x + 3 Multiply ag * fgi 5adginF + -2dginF + 6afg2i * x = x2 + -5x + 3 Multiply afg2i * x 5adginF + -2dginF + 6afg2ix = x2 + -5x + 3 Reorder the terms: 5adginF + 6afg2ix + -2dginF = x2 + -5x + 3 Reorder the terms: 5adginF + 6afg2ix + -2dginF = 3 + -5x + x2 Solving 5adginF + 6afg2ix + -2dginF = 3 + -5x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2dginF' to each side of the equation. 5adginF + 6afg2ix + -2dginF + 2dginF = 3 + -5x + 2dginF + x2 Combine like terms: -2dginF + 2dginF = 0 5adginF + 6afg2ix + 0 = 3 + -5x + 2dginF + x2 5adginF + 6afg2ix = 3 + -5x + 2dginF + x2 Reorder the terms: 5adginF + 6afg2ix = 3 + 2dginF + -5x + x2 Reorder the terms: -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 3 + 2dginF + -5x + x2 + -3 + -2dginF + 5x + -1x2 Reorder the terms: -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 3 + -3 + 2dginF + -2dginF + -5x + 5x + x2 + -1x2 Combine like terms: 3 + -3 = 0 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 + 2dginF + -2dginF + -5x + 5x + x2 + -1x2 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 2dginF + -2dginF + -5x + 5x + x2 + -1x2 Combine like terms: 2dginF + -2dginF = 0 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 + x2 + -1x2 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 5adginF + 6afg2ix + -2dginF + 5x + -1x2 = 0 The solution to this equation could not be determined.
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