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Simplifying (4x + -7)(ax + 4) = 0 Reorder the terms: (-7 + 4x)(ax + 4) = 0 Reorder the terms: (-7 + 4x)(4 + ax) = 0 Multiply (-7 + 4x) * (4 + ax) (-7(4 + ax) + 4x * (4 + ax)) = 0 ((4 * -7 + ax * -7) + 4x * (4 + ax)) = 0 ((-28 + -7ax) + 4x * (4 + ax)) = 0 (-28 + -7ax + (4 * 4x + ax * 4x)) = 0 Reorder the terms: (-28 + -7ax + (4ax2 + 16x)) = 0 (-28 + -7ax + (4ax2 + 16x)) = 0 (-28 + -7ax + 4ax2 + 16x) = 0 Solving -28 + -7ax + 4ax2 + 16x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -7ax + 4ax2 + 28 + 16x = 0 + 28 Reorder the terms: -28 + 28 + -7ax + 4ax2 + 16x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -7ax + 4ax2 + 16x = 0 + 28 -7ax + 4ax2 + 16x = 0 + 28 Combine like terms: 0 + 28 = 28 -7ax + 4ax2 + 16x = 28 Add '-16x' to each side of the equation. -7ax + 4ax2 + 16x + -16x = 28 + -16x Combine like terms: 16x + -16x = 0 -7ax + 4ax2 + 0 = 28 + -16x -7ax + 4ax2 = 28 + -16x Reorder the terms: -28 + -7ax + 4ax2 + 16x = 28 + -16x + -28 + 16x Reorder the terms: -28 + -7ax + 4ax2 + 16x = 28 + -28 + -16x + 16x Combine like terms: 28 + -28 = 0 -28 + -7ax + 4ax2 + 16x = 0 + -16x + 16x -28 + -7ax + 4ax2 + 16x = -16x + 16x Combine like terms: -16x + 16x = 0 -28 + -7ax + 4ax2 + 16x = 0 The solution to this equation could not be determined.
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