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Simplifying 7(10y2 + -5) = y Reorder the terms: 7(-5 + 10y2) = y (-5 * 7 + 10y2 * 7) = y (-35 + 70y2) = y Solving -35 + 70y2 = y Solving for variable 'y'. Reorder the terms: -35 + -1y + 70y2 = y + -1y Combine like terms: y + -1y = 0 -35 + -1y + 70y2 = 0 Factor a trinomial. (-7 + -10y)(5 + -7y) = 0Subproblem 1
Set the factor '(-7 + -10y)' equal to zero and attempt to solve: Simplifying -7 + -10y = 0 Solving -7 + -10y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -10y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10y = 0 + 7 -10y = 0 + 7 Combine like terms: 0 + 7 = 7 -10y = 7 Divide each side by '-10'. y = -0.7 Simplifying y = -0.7Subproblem 2
Set the factor '(5 + -7y)' equal to zero and attempt to solve: Simplifying 5 + -7y = 0 Solving 5 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = 0 + -5 -7y = 0 + -5 Combine like terms: 0 + -5 = -5 -7y = -5 Divide each side by '-7'. y = 0.7142857143 Simplifying y = 0.7142857143Solution
y = {-0.7, 0.7142857143}
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