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Simplifying product(9x + -4)(5x + 5) = 0 Reorder the terms: cdoprtu(-4 + 9x)(5x + 5) = 0 Reorder the terms: cdoprtu(-4 + 9x)(5 + 5x) = 0 Multiply (-4 + 9x) * (5 + 5x) cdoprtu(-4(5 + 5x) + 9x * (5 + 5x)) = 0 cdoprtu((5 * -4 + 5x * -4) + 9x * (5 + 5x)) = 0 cdoprtu((-20 + -20x) + 9x * (5 + 5x)) = 0 cdoprtu(-20 + -20x + (5 * 9x + 5x * 9x)) = 0 cdoprtu(-20 + -20x + (45x + 45x2)) = 0 Combine like terms: -20x + 45x = 25x cdoprtu(-20 + 25x + 45x2) = 0 (-20 * cdoprtu + 25x * cdoprtu + 45x2 * cdoprtu) = 0 (-20cdoprtu + 25cdoprtux + 45cdoprtux2) = 0 Solving -20cdoprtu + 25cdoprtux + 45cdoprtux2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5cdoprtu'. 5cdoprtu(-4 + 5x + 9x2) = 0 Factor a trinomial. 5cdoprtu((-1 + -1x)(4 + -9x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'cdoprtu' equal to zero and attempt to solve: Simplifying cdoprtu = 0 Solving cdoprtu = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cdoprtu = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Add 'x' to each side of the equation. -1x + x = 1 + x Combine like terms: -1x + x = 0 0 = 1 + x Simplifying 0 = 1 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Add '9x' to each side of the equation. -9x + 9x = -4 + 9x Combine like terms: -9x + 9x = 0 0 = -4 + 9x Simplifying 0 = -4 + 9x 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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