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Simplifying 7x2 + -2x + 3(4x)(4x) = 0 Remove parenthesis around (4x) 7x2 + -2x + 3 * 4x(4x) = 0 Remove parenthesis around (4x) 7x2 + -2x + 3 * 4x * 4x = 0 Reorder the terms for easier multiplication: 7x2 + -2x + 3 * 4 * 4x * x = 0 Multiply 3 * 4 7x2 + -2x + 12 * 4x * x = 0 Multiply 12 * 4 7x2 + -2x + 48x * x = 0 Multiply x * x 7x2 + -2x + 48x2 = 0 Reorder the terms: -2x + 7x2 + 48x2 = 0 Combine like terms: 7x2 + 48x2 = 55x2 -2x + 55x2 = 0 Solving -2x + 55x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 55x) = 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 '(-2 + 55x)' equal to zero and attempt to solve: Simplifying -2 + 55x = 0 Solving -2 + 55x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 55x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 55x = 0 + 2 55x = 0 + 2 Combine like terms: 0 + 2 = 2 55x = 2 Divide each side by '55'. x = 0.03636363636 Simplifying x = 0.03636363636Solution
x = {0, 0.03636363636}
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