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Simplifying 7x2 + 38x + 15x = 0 Reorder the terms: 38x + 15x + 7x2 = 0 Combine like terms: 38x + 15x = 53x 53x + 7x2 = 0 Solving 53x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(53 + 7x) = 0Subproblem 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 '(53 + 7x)' equal to zero and attempt to solve: Simplifying 53 + 7x = 0 Solving 53 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 7x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 7x = 0 + -53 7x = 0 + -53 Combine like terms: 0 + -53 = -53 7x = -53 Divide each side by '7'. x = -7.571428571 Simplifying x = -7.571428571Solution
x = {0, -7.571428571}
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