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Simplifying 4x + -1x * x + 3x + 4x * 4x = 0 Multiply x * x 4x + -1x2 + 3x + 4x * 4x = 0 Reorder the terms for easier multiplication: 4x + -1x2 + 3x + 4 * 4x * x = 0 Multiply 4 * 4 4x + -1x2 + 3x + 16x * x = 0 Multiply x * x 4x + -1x2 + 3x + 16x2 = 0 Reorder the terms: 4x + 3x + -1x2 + 16x2 = 0 Combine like terms: 4x + 3x = 7x 7x + -1x2 + 16x2 = 0 Combine like terms: -1x2 + 16x2 = 15x2 7x + 15x2 = 0 Solving 7x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 15x) = 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 '(7 + 15x)' equal to zero and attempt to solve: Simplifying 7 + 15x = 0 Solving 7 + 15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15x = 0 + -7 15x = 0 + -7 Combine like terms: 0 + -7 = -7 15x = -7 Divide each side by '15'. x = -0.4666666667 Simplifying x = -0.4666666667Solution
x = {0, -0.4666666667}
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