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Simplifying 7x2 + 26x * 15 = 0 Reorder the terms for easier multiplication: 7x2 + 26 * 15x = 0 Multiply 26 * 15 7x2 + 390x = 0 Reorder the terms: 390x + 7x2 = 0 Solving 390x + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(390 + 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 '(390 + 7x)' equal to zero and attempt to solve: Simplifying 390 + 7x = 0 Solving 390 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-390' to each side of the equation. 390 + -390 + 7x = 0 + -390 Combine like terms: 390 + -390 = 0 0 + 7x = 0 + -390 7x = 0 + -390 Combine like terms: 0 + -390 = -390 7x = -390 Divide each side by '7'. x = -55.71428571 Simplifying x = -55.71428571Solution
x = {0, -55.71428571}
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