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Simplifying (f + g)(x) + -6x + -1andg(x) = 4x2 Reorder the terms for easier multiplication: x(f + g) + -6x + -1andg(x) = 4x2 (f * x + g * x) + -6x + -1andg(x) = 4x2 (fx + gx) + -6x + -1andg(x) = 4x2 Multiply adgn * x fx + gx + -6x + -1adgnx = 4x2 Reorder the terms: -1adgnx + fx + gx + -6x = 4x2 Solving -1adgnx + fx + gx + -6x = 4x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1fx' to each side of the equation. -1adgnx + fx + gx + -1fx + -6x = -1fx + 4x2 Reorder the terms: -1adgnx + fx + -1fx + gx + -6x = -1fx + 4x2 Combine like terms: fx + -1fx = 0 -1adgnx + 0 + gx + -6x = -1fx + 4x2 -1adgnx + gx + -6x = -1fx + 4x2 Add '-1gx' to each side of the equation. -1adgnx + gx + -1gx + -6x = -1fx + -1gx + 4x2 Combine like terms: gx + -1gx = 0 -1adgnx + 0 + -6x = -1fx + -1gx + 4x2 -1adgnx + -6x = -1fx + -1gx + 4x2 Add '6x' to each side of the equation. -1adgnx + -6x + 6x = -1fx + -1gx + 6x + 4x2 Combine like terms: -6x + 6x = 0 -1adgnx + 0 = -1fx + -1gx + 6x + 4x2 -1adgnx = -1fx + -1gx + 6x + 4x2 Divide each side by '-1dgnx'. a = d-1fg-1n-1 + d-1n-1 + -6d-1g-1n-1 + -4d-1g-1n-1x Simplifying a = d-1fg-1n-1 + d-1n-1 + -6d-1g-1n-1 + -4d-1g-1n-1x Reorder the terms: a = d-1fg-1n-1 + -6d-1g-1n-1 + -4d-1g-1n-1x + d-1n-1
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