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Simplifying factorisex2(x + 6) + 3x(x + 9) + 152 = 0 Reorder the terms: acefiorstx2(6 + x) + 3x(x + 9) + 152 = 0 (6 * acefiorstx2 + x * acefiorstx2) + 3x(x + 9) + 152 = 0 (6acefiorstx2 + acefiorstx3) + 3x(x + 9) + 152 = 0 Reorder the terms: 6acefiorstx2 + acefiorstx3 + 3x(9 + x) + 152 = 0 6acefiorstx2 + acefiorstx3 + (9 * 3x + x * 3x) + 152 = 0 6acefiorstx2 + acefiorstx3 + (27x + 3x2) + 152 = 0 Reorder the terms: 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 Solving 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-152' to each side of the equation. 152 + 6acefiorstx2 + acefiorstx3 + 27x + -152 + 3x2 = 0 + -152 Reorder the terms: 152 + -152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 + -152 Combine like terms: 152 + -152 = 0 0 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 + -152 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 + -152 Combine like terms: 0 + -152 = -152 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = -152 Add '-27x' to each side of the equation. 6acefiorstx2 + acefiorstx3 + 27x + -27x + 3x2 = -152 + -27x Combine like terms: 27x + -27x = 0 6acefiorstx2 + acefiorstx3 + 0 + 3x2 = -152 + -27x 6acefiorstx2 + acefiorstx3 + 3x2 = -152 + -27x Add '-3x2' to each side of the equation. 6acefiorstx2 + acefiorstx3 + 3x2 + -3x2 = -152 + -27x + -3x2 Combine like terms: 3x2 + -3x2 = 0 6acefiorstx2 + acefiorstx3 + 0 = -152 + -27x + -3x2 6acefiorstx2 + acefiorstx3 = -152 + -27x + -3x2 Reorder the terms: 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = -152 + -27x + -3x2 + 152 + 27x + 3x2 Reorder the terms: 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = -152 + 152 + -27x + 27x + -3x2 + 3x2 Combine like terms: -152 + 152 = 0 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 + -27x + 27x + -3x2 + 3x2 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = -27x + 27x + -3x2 + 3x2 Combine like terms: -27x + 27x = 0 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 + -3x2 + 3x2 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 152 + 6acefiorstx2 + acefiorstx3 + 27x + 3x2 = 0 The solution to this equation could not be determined.
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