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Simplifying (x + 3v + -6)(4x + -5) = 0 Reorder the terms: (-6 + 3v + x)(4x + -5) = 0 Reorder the terms: (-6 + 3v + x)(-5 + 4x) = 0 Multiply (-6 + 3v + x) * (-5 + 4x) (-6(-5 + 4x) + 3v * (-5 + 4x) + x(-5 + 4x)) = 0 ((-5 * -6 + 4x * -6) + 3v * (-5 + 4x) + x(-5 + 4x)) = 0 ((30 + -24x) + 3v * (-5 + 4x) + x(-5 + 4x)) = 0 (30 + -24x + (-5 * 3v + 4x * 3v) + x(-5 + 4x)) = 0 (30 + -24x + (-15v + 12vx) + x(-5 + 4x)) = 0 (30 + -24x + -15v + 12vx + (-5 * x + 4x * x)) = 0 (30 + -24x + -15v + 12vx + (-5x + 4x2)) = 0 Reorder the terms: (30 + -15v + 12vx + -24x + -5x + 4x2) = 0 Combine like terms: -24x + -5x = -29x (30 + -15v + 12vx + -29x + 4x2) = 0 Solving 30 + -15v + 12vx + -29x + 4x2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -15v + 12vx + -29x + -30 + 4x2 = 0 + -30 Reorder the terms: 30 + -30 + -15v + 12vx + -29x + 4x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -15v + 12vx + -29x + 4x2 = 0 + -30 -15v + 12vx + -29x + 4x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -15v + 12vx + -29x + 4x2 = -30 Add '29x' to each side of the equation. -15v + 12vx + -29x + 29x + 4x2 = -30 + 29x Combine like terms: -29x + 29x = 0 -15v + 12vx + 0 + 4x2 = -30 + 29x -15v + 12vx + 4x2 = -30 + 29x Add '-4x2' to each side of the equation. -15v + 12vx + 4x2 + -4x2 = -30 + 29x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -15v + 12vx + 0 = -30 + 29x + -4x2 -15v + 12vx = -30 + 29x + -4x2 Reorder the terms: 30 + -15v + 12vx + -29x + 4x2 = -30 + 29x + -4x2 + 30 + -29x + 4x2 Reorder the terms: 30 + -15v + 12vx + -29x + 4x2 = -30 + 30 + 29x + -29x + -4x2 + 4x2 Combine like terms: -30 + 30 = 0 30 + -15v + 12vx + -29x + 4x2 = 0 + 29x + -29x + -4x2 + 4x2 30 + -15v + 12vx + -29x + 4x2 = 29x + -29x + -4x2 + 4x2 Combine like terms: 29x + -29x = 0 30 + -15v + 12vx + -29x + 4x2 = 0 + -4x2 + 4x2 30 + -15v + 12vx + -29x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 30 + -15v + 12vx + -29x + 4x2 = 0 The solution to this equation could not be determined.
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