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Simplifying 3.5 = a(x + 0)(x + -1.5) Reorder the terms: 3.5 = a(0 + x)(x + -1.5) Remove the zero: 3.5 = a(x)(x + -1.5) Reorder the terms: 3.5 = a * x(-1.5 + x) Multiply a * x 3.5 = ax(-1.5 + x) 3.5 = (-1.5 * ax + x * ax) 3.5 = (-1.5ax + ax2) Solving 3.5 = -1.5ax + ax2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5ax' to each side of the equation. 3.5 + 1.5ax = -1.5ax + 1.5ax + ax2 Combine like terms: -1.5ax + 1.5ax = 0.0 3.5 + 1.5ax = 0.0 + ax2 3.5 + 1.5ax = ax2 Add '-1ax2' to each side of the equation. 3.5 + 1.5ax + -1ax2 = ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 3.5 + 1.5ax + -1ax2 = 0 Add '-3.5' to each side of the equation. 3.5 + 1.5ax + -3.5 + -1ax2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 1.5ax + -1ax2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 1.5ax + -1ax2 = 0 + -3.5 1.5ax + -1ax2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 1.5ax + -1ax2 = -3.5 Reorder the terms: 3.5 + 1.5ax + -1ax2 = -3.5 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 3.5 + 1.5ax + -1ax2 = 0.0 The solution to this equation could not be determined.
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