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Simplifying 10 = a(x + 3)(x + 0)(x + -4) Reorder the terms: 10 = a(3 + x)(x + 0)(x + -4) Reorder the terms: 10 = a(3 + x)(0 + x)(x + -4) Remove the zero: 10 = a(3 + x)(x)(x + -4) Reorder the terms: 10 = a(3 + x) * x(-4 + x) Reorder the terms for easier multiplication: 10 = a * x(3 + x)(-4 + x) Multiply a * x 10 = ax(3 + x)(-4 + x) Multiply (3 + x) * (-4 + x) 10 = ax(3(-4 + x) + x(-4 + x)) 10 = ax((-4 * 3 + x * 3) + x(-4 + x)) 10 = ax((-12 + 3x) + x(-4 + x)) 10 = ax(-12 + 3x + (-4 * x + x * x)) 10 = ax(-12 + 3x + (-4x + x2)) Combine like terms: 3x + -4x = -1x 10 = ax(-12 + -1x + x2) 10 = (-12 * ax + -1x * ax + x2 * ax) 10 = (-12ax + -1ax2 + ax3) Solving 10 = -12ax + -1ax2 + ax3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12ax' to each side of the equation. 10 + 12ax = -12ax + -1ax2 + 12ax + ax3 Reorder the terms: 10 + 12ax = -12ax + 12ax + -1ax2 + ax3 Combine like terms: -12ax + 12ax = 0 10 + 12ax = 0 + -1ax2 + ax3 10 + 12ax = -1ax2 + ax3 Add 'ax2' to each side of the equation. 10 + 12ax + ax2 = -1ax2 + ax2 + ax3 Combine like terms: -1ax2 + ax2 = 0 10 + 12ax + ax2 = 0 + ax3 10 + 12ax + ax2 = ax3 Add '-1ax3' to each side of the equation. 10 + 12ax + ax2 + -1ax3 = ax3 + -1ax3 Combine like terms: ax3 + -1ax3 = 0 10 + 12ax + ax2 + -1ax3 = 0 Add '-10' to each side of the equation. 10 + 12ax + ax2 + -10 + -1ax3 = 0 + -10 Reorder the terms: 10 + -10 + 12ax + ax2 + -1ax3 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 12ax + ax2 + -1ax3 = 0 + -10 12ax + ax2 + -1ax3 = 0 + -10 Combine like terms: 0 + -10 = -10 12ax + ax2 + -1ax3 = -10 Reorder the terms: 10 + 12ax + ax2 + -1ax3 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 12ax + ax2 + -1ax3 = 0 The solution to this equation could not be determined.
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