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Simplifying 6(4x + 5) * squared + -1(4x + 5) + -35 = 0 Reorder the terms: 6(5 + 4x) * squared + -1(4x + 5) + -35 = 0 Reorder the terms for easier multiplication: 6adeqrsu(5 + 4x) + -1(4x + 5) + -35 = 0 (5 * 6adeqrsu + 4x * 6adeqrsu) + -1(4x + 5) + -35 = 0 (30adeqrsu + 24adeqrsux) + -1(4x + 5) + -35 = 0 Reorder the terms: 30adeqrsu + 24adeqrsux + -1(5 + 4x) + -35 = 0 30adeqrsu + 24adeqrsux + (5 * -1 + 4x * -1) + -35 = 0 30adeqrsu + 24adeqrsux + (-5 + -4x) + -35 = 0 Reorder the terms: -5 + -35 + 30adeqrsu + 24adeqrsux + -4x = 0 Combine like terms: -5 + -35 = -40 -40 + 30adeqrsu + 24adeqrsux + -4x = 0 Solving -40 + 30adeqrsu + 24adeqrsux + -4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 30adeqrsu + 24adeqrsux + 40 + -4x = 0 + 40 Reorder the terms: -40 + 40 + 30adeqrsu + 24adeqrsux + -4x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 30adeqrsu + 24adeqrsux + -4x = 0 + 40 30adeqrsu + 24adeqrsux + -4x = 0 + 40 Combine like terms: 0 + 40 = 40 30adeqrsu + 24adeqrsux + -4x = 40 Add '4x' to each side of the equation. 30adeqrsu + 24adeqrsux + -4x + 4x = 40 + 4x Combine like terms: -4x + 4x = 0 30adeqrsu + 24adeqrsux + 0 = 40 + 4x 30adeqrsu + 24adeqrsux = 40 + 4x Reorder the terms: -40 + 30adeqrsu + 24adeqrsux + -4x = 40 + 4x + -40 + -4x Reorder the terms: -40 + 30adeqrsu + 24adeqrsux + -4x = 40 + -40 + 4x + -4x Combine like terms: 40 + -40 = 0 -40 + 30adeqrsu + 24adeqrsux + -4x = 0 + 4x + -4x -40 + 30adeqrsu + 24adeqrsux + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 30adeqrsu + 24adeqrsux + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 15adeqrsu + 12adeqrsux + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-20 + 15adeqrsu + 12adeqrsux + -2x)' equal to zero and attempt to solve: Simplifying -20 + 15adeqrsu + 12adeqrsux + -2x = 0 Solving -20 + 15adeqrsu + 12adeqrsux + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 15adeqrsu + 12adeqrsux + 20 + -2x = 0 + 20 Reorder the terms: -20 + 20 + 15adeqrsu + 12adeqrsux + -2x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 15adeqrsu + 12adeqrsux + -2x = 0 + 20 15adeqrsu + 12adeqrsux + -2x = 0 + 20 Combine like terms: 0 + 20 = 20 15adeqrsu + 12adeqrsux + -2x = 20 Add '2x' to each side of the equation. 15adeqrsu + 12adeqrsux + -2x + 2x = 20 + 2x Combine like terms: -2x + 2x = 0 15adeqrsu + 12adeqrsux + 0 = 20 + 2x 15adeqrsu + 12adeqrsux = 20 + 2x 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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