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Simplifying f(x) * 5x3 + -6x2 + -4x + -12atx = 3 Reorder the terms for easier multiplication: 5f * x * x3 + -6x2 + -4x + -12atx = 3 Multiply f * x 5fx * x3 + -6x2 + -4x + -12atx = 3 Multiply fx * x3 5fx4 + -6x2 + -4x + -12atx = 3 Reorder the terms: -12atx + 5fx4 + -4x + -6x2 = 3 Solving -12atx + 5fx4 + -4x + -6x2 = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5fx4' to each side of the equation. -12atx + 5fx4 + -4x + -5fx4 + -6x2 = 3 + -5fx4 Reorder the terms: -12atx + 5fx4 + -5fx4 + -4x + -6x2 = 3 + -5fx4 Combine like terms: 5fx4 + -5fx4 = 0 -12atx + 0 + -4x + -6x2 = 3 + -5fx4 -12atx + -4x + -6x2 = 3 + -5fx4 Add '4x' to each side of the equation. -12atx + -4x + 4x + -6x2 = 3 + -5fx4 + 4x Combine like terms: -4x + 4x = 0 -12atx + 0 + -6x2 = 3 + -5fx4 + 4x -12atx + -6x2 = 3 + -5fx4 + 4x Add '6x2' to each side of the equation. -12atx + -6x2 + 6x2 = 3 + -5fx4 + 4x + 6x2 Combine like terms: -6x2 + 6x2 = 0 -12atx + 0 = 3 + -5fx4 + 4x + 6x2 -12atx = 3 + -5fx4 + 4x + 6x2 Divide each side by '-12tx'. a = -0.25t-1x-1 + 0.4166666667ft-1x3 + -0.3333333333t-1 + -0.5t-1x Simplifying a = -0.25t-1x-1 + 0.4166666667ft-1x3 + -0.3333333333t-1 + -0.5t-1x Reorder the terms: a = 0.4166666667ft-1x3 + -0.3333333333t-1 + -0.25t-1x-1 + -0.5t-1x
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