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Simplifying x(35x + 1) = 12 Reorder the terms: x(1 + 35x) = 12 (1 * x + 35x * x) = 12 (1x + 35x2) = 12 Solving 1x + 35x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + 1x + 35x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 1x + 35x2 = 0 Factor a trinomial. (-3 + -5x)(4 + -7x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-0.6, 0.5714285714}
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