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Simplifying 35x2 + 15 = -5x + 15 Reorder the terms: 15 + 35x2 = -5x + 15 Reorder the terms: 15 + 35x2 = 15 + -5x Add '-15' to each side of the equation. 15 + -15 + 35x2 = 15 + -15 + -5x Combine like terms: 15 + -15 = 0 0 + 35x2 = 15 + -15 + -5x 35x2 = 15 + -15 + -5x Combine like terms: 15 + -15 = 0 35x2 = 0 + -5x 35x2 = -5x Solving 35x2 = -5x Solving for variable 'x'. Reorder the terms: 5x + 35x2 = -5x + 5x Combine like terms: -5x + 5x = 0 5x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + 7x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(1 + 7x)' equal to zero and attempt to solve: Simplifying 1 + 7x = 0 Solving 1 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 0 + -1 7x = 0 + -1 Combine like terms: 0 + -1 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429Solution
x = {0, -0.1428571429}
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