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Simplifying 6x + -1[5x + -5x(a + b)] * x = 0 6x + -1[5x + (a * -5x + b * -5x)] * x = 0 6x + -1[5x + (-5ax + -5bx)] * x = 0 Reorder the terms: 6x + -1[-5ax + -5bx + 5x] * x = 0 Reorder the terms for easier multiplication: 6x + -1x[-5ax + -5bx + 5x] = 0 6x + [-5ax * -1x + -5bx * -1x + 5x * -1x] = 0 6x + [5ax2 + 5bx2 + -5x2] = 0 Reorder the terms: 5ax2 + 5bx2 + 6x + -5x2 = 0 Solving 5ax2 + 5bx2 + 6x + -5x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5bx2' to each side of the equation. 5ax2 + 5bx2 + 6x + -5bx2 + -5x2 = 0 + -5bx2 Reorder the terms: 5ax2 + 5bx2 + -5bx2 + 6x + -5x2 = 0 + -5bx2 Combine like terms: 5bx2 + -5bx2 = 0 5ax2 + 0 + 6x + -5x2 = 0 + -5bx2 5ax2 + 6x + -5x2 = 0 + -5bx2 Remove the zero: 5ax2 + 6x + -5x2 = -5bx2 Add '-6x' to each side of the equation. 5ax2 + 6x + -6x + -5x2 = -5bx2 + -6x Combine like terms: 6x + -6x = 0 5ax2 + 0 + -5x2 = -5bx2 + -6x 5ax2 + -5x2 = -5bx2 + -6x Add '5x2' to each side of the equation. 5ax2 + -5x2 + 5x2 = -5bx2 + -6x + 5x2 Combine like terms: -5x2 + 5x2 = 0 5ax2 + 0 = -5bx2 + -6x + 5x2 5ax2 = -5bx2 + -6x + 5x2 Divide each side by '5x2'. a = -1b + -1.2x-1 + 1 Simplifying a = -1b + -1.2x-1 + 1 Reorder the terms: a = 1 + -1b + -1.2x-1
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