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Simplifying (4x + 2)(5t + -7) = 0 Reorder the terms: (2 + 4x)(5t + -7) = 0 Reorder the terms: (2 + 4x)(-7 + 5t) = 0 Multiply (2 + 4x) * (-7 + 5t) (2(-7 + 5t) + 4x * (-7 + 5t)) = 0 ((-7 * 2 + 5t * 2) + 4x * (-7 + 5t)) = 0 ((-14 + 10t) + 4x * (-7 + 5t)) = 0 (-14 + 10t + (-7 * 4x + 5t * 4x)) = 0 Reorder the terms: (-14 + 10t + (20tx + -28x)) = 0 (-14 + 10t + (20tx + -28x)) = 0 (-14 + 10t + 20tx + -28x) = 0 Solving -14 + 10t + 20tx + -28x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 10t + 20tx + 14 + -28x = 0 + 14 Reorder the terms: -14 + 14 + 10t + 20tx + -28x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 10t + 20tx + -28x = 0 + 14 10t + 20tx + -28x = 0 + 14 Combine like terms: 0 + 14 = 14 10t + 20tx + -28x = 14 Add '28x' to each side of the equation. 10t + 20tx + -28x + 28x = 14 + 28x Combine like terms: -28x + 28x = 0 10t + 20tx + 0 = 14 + 28x 10t + 20tx = 14 + 28x Reorder the terms: -14 + 10t + 20tx + -28x = 14 + 28x + -14 + -28x Reorder the terms: -14 + 10t + 20tx + -28x = 14 + -14 + 28x + -28x Combine like terms: 14 + -14 = 0 -14 + 10t + 20tx + -28x = 0 + 28x + -28x -14 + 10t + 20tx + -28x = 28x + -28x Combine like terms: 28x + -28x = 0 -14 + 10t + 20tx + -28x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + 5t + 10tx + -14x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + 5t + 10tx + -14x)' equal to zero and attempt to solve: Simplifying -7 + 5t + 10tx + -14x = 0 Solving -7 + 5t + 10tx + -14x = 0 Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5t + 10tx + 7 + -14x = 0 + 7 Reorder the terms: -7 + 7 + 5t + 10tx + -14x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5t + 10tx + -14x = 0 + 7 5t + 10tx + -14x = 0 + 7 Combine like terms: 0 + 7 = 7 5t + 10tx + -14x = 7 Add '14x' to each side of the equation. 5t + 10tx + -14x + 14x = 7 + 14x Combine like terms: -14x + 14x = 0 5t + 10tx + 0 = 7 + 14x 5t + 10tx = 7 + 14x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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